# trigonometry

2,054 results, page 19

### URGENT - Trigonometry - Identities and Proofs

Okay, today, I find myself utterly dumbfounded by these three questions - Write a proof for - 2/(sqrt(3)cos(x) + sin(x))= sec((pi/6)-x) Solve the following equation - 2sin(2x) - 2sin(x) + 2(sqrt(3)cos(x)) - sqrt(3) = 0 Find all solutions (exact) to the equation - sin^2(x)cos^2...

### Trigonometry

My answer: Y= -82.5 cos (4pi/3)x+91.5 (Period: 1.5=2pi/b --> b= 4pi/3 ) The diameter of the wheel is 165 feet, it rotates at 1.5 revolutions per minute, and the bottom of the wheel is 9 feet above the ground. Find an equation that gives a passenger's height above the ground...

### Trigonometry/Geometry - Inequalities

Let a, b, and c be positive real numbers. Prove that sqrt(a^2 - ab + b^2) + sqrt(a^2 - ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are the two sides equal? This looks like a geometry...

### Trigonometry

From the foot of a building I have to look upwards at an angle of 22degrees to sight the top of a tree. From the top of a building, 150 meters above ground level, I have to look down at an angle of depression of 50degrees to look at the top of the tree. a. How tall is the tree...

### trigonometry

can i use factoring to simplify this trig identity? the problem is sinx + cotx * cosx i know the answer is cscx and i know how to get it but i want to know if i can do factoring to get it bc i tried to but it wont give me the answer . this is the step i went through: 1) sinx...

### Trigonometry

Given the rectangular-form point (–1, 4), which of the following is an approximate primary representation in polar form? A. −(4.12, 1.82) B. (−4.12, −1.33) C. (4.12, 1.82) D. (4.12, 4.96) Change 8 cis 240degrees to rectangular form. A. -4(Square root 3)-4i ...

### Trigonometry

Prove that tan (Lambda) cos^2 (Lambda)+sin^2 (Lamda)/sin(Lambda) = cos (Lambda) + sin (Lambda)

### trigonometry

Prove: 1) 1 / sec X - tan X = sec X + tan X 2) cot A + tan A = sec A csc A 3)sec A - 1 / sec A + 1 = 1 - cos A / 1 + cos A

### Trigonometry

Peanuts cost $3 per pound, almonds $4 per pound, and cashews $8 per pound. How many pounds of each should be mixed to produce 140 pounds of a nut assortment that cost $6 per pound, in which there are twice as many peanuts as almonds?

### trigonometry honors

from an observation point A, a fire is spotted at a bearing of 62 degrees. the same fire is spotted from an observation point B, 42 miles due east from A, at a bearing of 332 degrees. how far is observation point B from the fire?

### trigonometry

The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 45 rpm. (a) Find the angular speed of the wheel sprocket. rad/min (b) Find the ...

### trig

hi, I have a placement test coming up tomorrow, and I'm pretty confident about all the stuff that's going to be there except trigonometry. I took trig two years back and I understood it very well. But now it's been so long and I can't even remember the basics. Is there any ...

### Trigonometry

If someone could tell me if this is correct, it would really help me out. Problem: A statue 20 feet high stands on top of a base. From a point in front of the statue, the angle of elevation to the top of the statue is 48 degrees, and the angle of elevation to the bottom of the...

### Math - Trigonometry

You are riding the ferris wheel at the Montgomery County Fair. The wheel has a diameter of 36 feet and travels at a constant rate of 3 revolutions per minute. A car at its lowest is 4 feet above the ground. Write a sine function to describe the relationship between time and ...

### Trigonometry (Math)

A ladder 42 feet long is place so that it will reach a window 30 feet high (first building) on one side of a street; if it is turned over, its foot being held in position, it will reach a window 2o5 feet high (second building) on the other side of the street. How wide is the ...

### Trigonometry

If cos(a)=1/2 and sin(b)=2/3, find sin(a+b), if 1) Both angles are acute; Answer: (sqrt(15)+2)/6 ii) a is an acute angle and pi/2 < b < pi; Answer: (2-sqrt(15))/6 2. Find the exact value of the six trigonometric functions of 13pi/12. Partial answer: cos(13pi/12)=-(sqrt(6...

### trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of elevation to their tops are complimentary. if...

### Trigonometry

Find (a) tan (x+y), (b) tan (x-y), (c) the quadrant containing (x+y), and (d) the quadrant containing (x-y). Given: tan x = 2/3, 0 < x < π/2 ; tan y = 5/6, 0 < y < π/2.

### Trigonometry

Okay, I have been given a trigonometric equation to solve (sin^2(theta) + cos(theta) = 2). So far, I have been able to use the Pythagorean identity to get (-cos^2(theta) + cos(theta) - 1 = 0), which I then multiplied by -1 on both sides to get: (cos^2(theta) - cos(theta) + 1...

### trigonometry

. A surveyor wishes to measure the distance across Pasig River. She sets up her transit at a point C on the bank of the river, and sights on a point B on the other bank directly opposite her. Then she turns the transit through a right angle, and measures off a distance of 100 ...

### Trigonometry..

During high tide the water depth in a harbour is 22 m and during low tide it is 10m(Assume a 12h cycle). Calculate the times at which the water level is at 18m during the first 24 hours. My solution: first I found the cos equation: H(t)=-6cos(π/6t)+16 then.. Let π/6t...

### trigonometry

i have posted this question up alot of times before but i guess no one gets it because no one ever replies.. find the latitude of Spokane, WA if Spokane and Jordan Valley, OR, 43.15degN, are 486 km apart. (assuming that the cities lie on the same norht-south line and that the ...

### maths (trigonometry)

calculate the following: 1)sin 50 degree-sin 70 degree+sin 10deg. 2)cos square 48 deg.- sin square 12 deg. 3)tan 20 deg.+tan 40 deg.+root 3 tan 20 tan 40 Plz. Solve these

### Trigonometry

Every point (x,y) on the curve y=log(3x)/log2 is transferred to a new point by the following translation (x′,y′)=(x−m,y−n), where m and n are integers. The set of (x′,y′) form the curve y=log(12x−96)/log2. What is the value of m+n? ...

### trigonometry

A pedestrian is an between two tall building, from a point 10 meter high on the first building, the angle of depression of the pedestrian is 20°,10' from the same point, the angle of elevation of the top of the second building is 15°,20'. If the two building are 40 meter ...

### Trigonometry

A variant on the carousel at a theme park is the swing ride. Swings are suspeneded from a rotating platform and move outward to form an angle x with the vertical as the ride rotates. The angle is related to the radial distance,r, in metres, from the centre of rotation; the ...

### Mathamatics

Solve the following trigonometry identities. a) 1-cos2(theta) = sin(theta)cos(theta)/cot(theta) b) (1-cos2(theta))(1-tan2(theta))=sin2(theta)-2sin4(theta)/1-sin2(theta) *its supposed to be cos to the power of two, sin to the power of four, etc. There is also supposed to be a ...

### TRIGONOMETRY ASAP!

fountains are designed so that the height and distance the water travels is dependent on θ, the angle at which the water is aimed. for any given angle θ, the ratio of maximum height H of the water to the horizontal distance D it travels is given by the formula H/D=1/...

### Trigonometry

1. Brothers Bob and Tom buy a tent that has a center pole of 6.25 feet high. If the sides of the tent are supposed to make a 50deg angle with the ground, how wide is the tent? 2. A swimming pool is 30 meters long and 12 meters wide. The bottom of the pool is slanted so that ...

### math

if someone could please help that would be muchly appreciated. A group of mountain climbers are using trigonometry to find the height of a mountain located in the rockies. From point A, which is due west of the mountain, the angle of elevation to the top is 56 degrees. From ...

### Gr. 12 Math - Trigonometry 3D

From the top of a 1900 m mountain, the angle of depression to a cathedral that is due east of the mountain is 38 degrees. The angle of depression to a bridge due north of the mountain is 42 degrees. Find the straight-line distance from the cathedral to the bridge. This is a ...

### Trigonometry Check

Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [cosx-(sin90cosx-cos90sinx)sinx]/[cosx-(cos180cosx+sinx180sinx)tanx] = [cosx-((1)cosx-(0)sinx)sinx]/[cosx-((-1)cosx+(0)sinx)tanx] = [cosx-cosxsinx]/[cosx+cosxtanx] = [cosx(1-sinx]/[cosx(1+tanx] = (1-sinx)/(1+tanx) Is ...

### trigonometry

Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length of the fragment is about 1/6 the circumference of the original complete plate and measures 1.65 inches. A similar plate found ...

### Math - Calculus

The horizontal velocity is constant. (Ignore air resistance.) Recall from your study of trigonometry that if you release a rock at a speed v in a direction that makes an angle α with the horizontal, then the initial vertical velocity vv and the horizontal velocity vh are ...

### Trigonometry

Prove that sin^2(Omega) - Cos^2(Omega) / tan(Omega) sin(Omega) + cos(Omega) tan(Omega) = cos(Omega) - cot (Omega) cos (omega) If could explain, please. That would be great (:

### trigonometry

The angle of elevation of the top of a tower to point A on the ground is 61 degrees. At point B it is 600 feet farther from the base, in line with the base and the first point and in the same plane, the angle of elevation is 32 degrees. Find the height of the tower. This ...

### Trigonometry

Two hikers are wandering through heavy woods with walkie talkies. The walkie talkies have a range of 0.0568182 miles. From their starting point, they head off at an angle of 109.167° of each other. Hiker 1 walks 0.24 miles per hour, hiker 2 walks 0.17 miles per hour. If each ...

### Physics

In projectile motion, how would you find the final velocity of the object just before it hits the ground a) find the second vertical velocity b) add the final and horizontal velocities directly c)add the final and horizontal velocities as vectors d) add the final and ...

### trigonometry- please help

From a ship, two lighthouses can be seen bearing N 40 degrees E. After the ship sails at 15 knots on a course of 135 degrees for an hour and 20 mins, the two lighthouses now has a bearing of 10 degrees and 345 degrees. a) Find the distance of the ship from the latter position ...

### Trigonometry (Identities)

Verify the trigonometric identity: (cos Ɵ - (sin Ɵ - 1))/(cos Ɵ + (sin Ɵ - 1)) = (1+cos Ɵ)/(sin Ɵ)

### Trigonometry

Solve the equation for solutions in the interval 0<=theta<2pi Problem 1. 3cot^2-4csc=1 My attempt: 3(cos^2/sin^2)-4/sin=1 3(cos^2/sin^2) - 4sin/sin^2 = 1 3cos^2 -4sin =sin^2 3cos^2-(1-cos^2) =4sin 4cos^2 -1 =4sin Cos^2 - sin=1/4 (1-sin^2) - sin =1/4 -Sin^2 - sin =-3/4 ...

### trigonometry

A surveyor made two sections of the railroad bridge, both at 210 meters in length. Suppose that the maximum of elevation of each section is 75deg. When the bridge is closed, the water level is normally 13 meters below the bridge. a. When the bridge is fully opened, what is the...

### Trigonometry

Prove the following trigonometric identities. please give a detailed answer because I don't understand this at all. a. sin(x)tan(x)=cos(x)/cot^2 (x) b. (1+tanx)^2=sec^2 (x)+2tan(x) c. 1/sin(x) + 1/cos(x) = (cosx+sinx)(secx)(cscx) d. tan^2 (x)(1+1/tan^2 x) = 1/(1-sin^2x) e. sin...

### Trigonometry

Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 if 0<equal to theta , pi/2 then sin(theta) = tan (theta) = If 3pi/2 less than equal to theta , 2pi then sin(theta) = tan (theta) = I know the trig functions but I feel like I am missing something here. cos (...

### Trigonometry

The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size? Which are shrinking? b. Which town is growing the fastest? ...

### Trigonometry with right triangles

A painter is placing a ladder to reach the third story window, which is 18 feet above the ground and makes an angle with the ground of 80°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth. The base of the...

### Trigonometry

Could someone please help me out with this? I've read my text book, but can't seem to figure it out. And could you please show me how to do them? The Earth travels in a circular orbit around the Sun at 29.79 km/sec. If the radius of the orbit is 1.496 x 10^8 km, what is the ...

### trigonometry

How do you find: cot(-5pie/4)? you have to know that cotx = 1/tanx so you could just trustfully change your calculator to radians enter 5*pi/4, press =, press +/-, then press Tan, =, then the 1/x key you should get -1 or... you could do it the more rewarding way without a ...

### Trigonometry

Wave Motion A buoy oscillates in simple harmonic motion as waves go past. At a given time it is noted that the buoy moves a total of 3.5 feet from its low point to its high point, and that it returns to its high point every 10 seconds. Write an equation that describes the ...

### construct a triangle

How can I construct a triangle ABC with vertices A(-4,2), B(4,3), C(1,-3). what are the angles in order from least measure to greatest measure Since you will have to use trigonometry to find the angles, surely you must know how to plot points. take the slope of each of the ...

### Trigonometry

Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 4.4 centimeters and the radius of the larger wheel is 20.9 centimeters. Through how many degrees wil the larger wheel rotate if ...

### Trigonometry

Surveying A surveyor wishes to find the distance across a swamp. The bearing from A to B (Segment AB is opposite side of triangle) is N 32° W. The surveyor walks 50 meters from A to C, and at the point C the bearing to B is N 68° W. (Segment AC is adjacent side of triangle...

### trigonometry

2. two look out situations, which are 25 miles apart along the coast on a north-south shoreline, spot an approaching yacht. One lookout station measures the direction to the yacht at N33 degrees E, and the other station measures the direction of the yacht at S62 degrees E. How...

### Trigonometry - Cosine of angle

What is the cosine of the angle between two adjacent faces of a regular tetrahedron? (We define the angle between two intersecting planes as the angle between two intersecting lines, one in each plane, such that each line is perpendicular to the line at which the planes ...

### Trigonometry

There are four complex fourth roots to the number 4−4√3i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) z2=r2(cosθ2+isinθ2) z3=r3(cosθ3+isinθ3) z4=r4(cosθ4+isinθ4), where ri is a real number and 0∘≤...

### trigonometry

sinA= 3/5 and C=17 Finding a and b Their two triangles and i have to find the ratio i just can’t seem to set up the problem right but i gave an example of one of the practice exercise that dealt with finding only (a) so i got confused with finding a and b in that question. ...

### Trigonometry

Prove that cos(A+B+C)+cos(-A+B+C)+cos(A-B+C)+cos(A+B-C)/sin(A+B+C)+sin(-A+B+C)-sin(A-B+C)+sin(A+B-C) = cotB

### Trigonometry

Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length of the fragment is about 1/6 the circumference of the original complete plate and measures 1.65 inches. A similar plate found ...

### Math (trigonometry)

Hi, I need help with these problems, I'm not sure where to start. The book's examples are different. Thanks in advance!! 1.) To find the distance AB across a river, a distance BC of 472m is laid off on one side of the river. It is found that B=108.1 degrees and C= 17.9 degrees...

### 10th grade trigonometry

A wheelchair ramp is said to have an angle of 4.5° with the ground. the deck at the top of the ramp is 20 inches above ground level. a) how long should the ramp be? round your answer to the nearest tenth of an inch. c) how far from the deck should the ramp begin? Round your ...

### Trigonometry

Sketch a height versus time graph of the sinusoidal function that models each situation. draw at lease three cycles. assume that the first point plotted on each graph is at the lowest point: a girl lying on a an air mattress in a wave pool that is 3 m deep, with waves 0.5 m in...

### Trigonometry

The angle of depression from the top of a lighthouse across the street is 65 degrees. the angle of depression from the top of the lighthouse to the top of a house is 28 degrees. the distance from the lighthouse to the house is 37 feet. what is the height of the house?

### Math - Trigonometry

An observer on the ground at point A watches a rocket ascend. The observer is 1200 feet from the launch point B. As the rocket rises, the distance d from the observer to the rocket increases. a. Express the measure of angle A in terms of d. b. Find the measure of angle A if d...

### Trigonometry

a) The ship left the port and sailed for 2 hours on a course of 75O, at an average speed of 2.5 nautical miles per hour. b) North It changed its course to 165O and travelled for 3 hours, at an average speed of 4 nautical miles per hour. Your team is tasked to lead the rescue. ...

### trigonometry

If a planet has a semimajor axis of 2 AU (astronomical units) a) what would the semimajor axis of a superior planet be if the angle of greatest elongation for the inferior planet is 20 degrees as viewed from the superior planet? b) assuming a day on the superior planet is 30 ...

### Physics

A 1.8 tonne railway truck moving at a speed of 3m/s up a steady incline comes to a stop after 45m. If the sum of the friction opposing the truck amounts to 80N What is the angle of elevation of the slope? I found Fg using m*g THen I tried using v^2=u^2 + 2as to find the ...

### MATH TRIGONOMETRY

refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept? 2.what is the behavior of the left end of its graph? 3.will the graph pass through the origin? 4,what is the behavior of the left end of this graph? 5how many ...

### maths (trigonometry)

The angle of elevation and angle of depression of the top and base of a mobile tower from a mobile handset are 60 degree and 30 degree respectively. If the distances of the top and the base of the tower from the mobile handset are 15m and 8m respectively, find the height of ...

### maths geometry

Find and write down a proof that the product of the gradients of two perpendicular lines is -1 Use trigonometry. Let the slope of a line from A to B be m1. Let the slope of a perpendicular line from A to C be m2. The tangent (or slope) of the line between these two lines is: ...

### Math 12A Plain Trigonometry

a surveyor wishes to measure the distance between two objects, a carabao and a tower on the opposite side of the river. while standing at point R, he finds that the distance between the carabao is 30 meters, while the distance to the tower is 415 meters. The angle formed ...

### Trigonometry

Hello all, In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x). Now, we are working on proofs that two sides of an equation are equal (for example, sin(x)*csc(x)=1; sin(x)csc(x)=sin(x)/sin(x)=1; 1=1). I am not ...

### math(Trigonometry)

sin 2 theta + cos theta = 0 so, we use sin 2 theta = 2 sin theta cos theta right? but the problem is i'm stuck on (2 sin theta cos theta) + cos theta = 0. What should i do?

### trigonometry

a clock has a dial face of 12 inches radius the minute hand is 9 inches while the hour hand is 6 inches the plane of rotation of the hour hand is 2 inches above the plane of rotation of the minute hand. Find the distance between the tips of the minute and hour hand at 5:40 am.

### trigonometry - kindly help, needed badly

From a point on the bank of a stream,the angle of elevation of a tree top on the opposite bank is 38 degrees and 23 mins. And from a point 200.6 ft. straight back from the bank, the angle of elevation of the tree top is 20 degrees and 22 mins. Find the height of the tree and ...

### trigonometry (MathMate)

MathMate i would really appreciate if you can show me where the logarithms can be used.I know they are unnecessary and I already found the answer without them but i still have to show my work using logarithms and they just confuse me. I also have most trouble woth the anti-...

### trigonometry

1.if 2^x+2^y=2^(x+y) then dy/dx is equal to what? 2.If x.root(1+y)+y.root(1+x)=0 then dy/dx is equal to what? 3.Sin[(1/2)cos^-1(4/5)] is equal to what? 4.check the continuity of function f(x)=2x+3 at x=1. 5.check the continuity of the function F(x)={e^x - 1 -x ; x not equal to...

### Science Question 2

Having nothing to do with trigonometry, what type of parallaxes use the width of absorption lines to estimate the star's luminosity and size and distance? A.bolometric B.photometric C.spectroscopic D.holographic E.video metric You can find the answer here: http://www....

### Trigonometry need help!!!

need help don't understand how to do this.... 1.Verify the identity cot(θ-( π/2)= -tan θ 2. Verify the identity tan θ + cot θ =1/sin θ cosθ

### trigonometry

I wont be receiving credit for these problems but i was just wondering how would i answer them... A) The area of a sector of a circle with a central angle of 25π rad is 21 mm². B) The angle between 0 and 2π in radians that is coterminal with the angle 487π in ...

### Spherical Trigonometry

*Approximate the angle of elevation of the sun if a box 5 meters tall casts a shadow 4 meters long on level ground. *As a weather ballon rises vertically its angle of elevation from a point P on the level ground 110km.from the point Q directly underneath the ballon changes ...

### Trigonometry

Suppose you were at the beach and notice that at 1:00 pm the tide is in, that is, the depth of water is at its deepest. At that time you find that the depth of the water at the end of the pier is 1.9 meters. At 7:00 that evening when the tide is out, the depth of the water is ...

### Pre-calculus (Trigonometry)

The rotating spotlight from the Coast Guard ship can illuminate up to a distance of 250 m. An observer on the shore is 500 m from the ship. HIs line of sight to the ship makes an angle of 20 degrees with the shoreline. What length of shoreline is illuminated by the spotlight...

### trigonometry pls help

12. Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 36 feet long. The function models the height of the triangular garden. a. What is the height of the triangle when theta=45 degree? b. What is the height of the triangle when theta=...

### Trigonometry

There is an arbitrary triangle with angles A, B, and C and sides of lengths a, b, and c. Angle A is opposite side a. How do I get the formulas: b * cos C + c * cos B = a c * cos A + a * cos C = b a * cos B + b * cos A = c Are these standard trig formulas? What are they called...

### Advanced Functions/Precalculus

Trigonometry Questions 1. Solve the equation sin2x+1=-2sinx for 0≤x≤2π 2. Solve the equation 7sin2x-4sin2x/cosx=-1 where 0≤x≤2π 3. Determine the exact value of cos2(theta) when tan(theta)=3/4 and π<theta<3π/2 4. The average ...

### algebra & trigonometry

A school wants to purchase some round tables and some rectangular tables. The costs of one round table and one rectangular table are $20 and $25, respectively. The school wants to spend at most $1,000. Represent this problem for the purchase of x round tables and y rectangular...

### trigonometry

suppose a manufacterer of transistors believes that, on the average, one defective transistor occurs in every 100 transistors. a. find the probability that a batch of 20 transistors has 2 defectives. b. find the probability that a batch of 20 transistors has at most 2 ...

### trigonometry

a 60 meter high building is erected vertically on a hillside. An electric post stands vertically on the hill. An observer at the top the building, find the angle of depressions of the top and the bottom of the electric post to be 30 degrees and 42 degrees respectively. if the ...

### trigonometry

A ship started sailing 42.58 degrees west of south at the rate of 15 kph. after 2 hours, ship B started at the same port going 46.33 degrees west of north at the rate of 7 kph. after how many hours will the second ship be exactly north of ship A?

### trigonometry

A ship started sailing 42.58 degrees west of south at the rate of 5 kph. after 2 hours, ship B started at the same port going 46.33 degrees west of north at the rate of 7 kph. after how many hours will the second ship be exactly north of ship A?

### Trigonometry application

I need help with this problem. am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the...

### trigonometry

(a) If è is in standard position, then the reference angle è is the acute angle formed by the terminal side of è and the ---Select--- x-axis y-axis . So the reference angle for è = 120° is è = ?°, and that for è = 210°is è = ? degrees. (b) If è is any angle, the ...

### Trigonometry

a) The ship left the port and sailed for 2 hours on a course of 75 degrees,at an average speed of 2.5 nautical miles per hour. b) It changed its course to 165 degrees and travelled for 3 hours, at an average speed of 4 nautical miles per hour. Your team is tasked to lead the ...

### Trigonometry help please!

Assume that height is a function of age and that H=f(a) is the average height (in inches) for females in the US at age (a) years. What is the practical interpretation of f(z)+20? a. 20 years older than the average US female who is z inches tall b. 20 inches taller than the ...

### Math (trigonometry)

How do you get the second triangle when you have an ambiguous case of sine law? For example, if you are given the following information for a triangle: a = 7.2 mm, b = 9.3 mm, <A = 35° I can solve for one triangle: Find <B, <C, side c. <B: sinB/9.3 = sin35°/72 ...

### Math/Trigonometry

1. Solve: 2 cos² x - 3 cos x + 1 = 0 for 0 ≤ x < 2pi. 2. Solve: 2 sin x - 1 = 0 for 0° ≤ x < 360° 3. Solve: sin² x = cos² x for 0° ≤ x < 360° 4. Solve: sin x - 2sin x cos x = 0 for 0 ≤ x < 2p

### Math-Trigonometry

Master Chief is trapped on an island with a Scorpion Tank as his only means of defense. An enemy Covenant jet fighter just landed on a smaller island across the water. Master Chief would like to fire a shell across the water directly at the jet. However, as the Scorpion Tank ...

### trig confused.. pls help

A group of mountain climbers are using trigonometry to find the height of a mountain located in the Rockies. From point A, which is due west of the mountain, the angle of elevation to the top is 56 degrees. From point B, which is due east of the mountain, the angle of ...

### trigonometry

Can you tell me if these answer is correct. 1. From a boat on the lake, the angle of elevation to the top of a cliff is 35degrees13'. if the base of the cliff is 2664 feet from the boat, how high is the cliff(to the nearest foot)? i got 1880 feet. is this correct. and this one...