An airplane is flying in the direction 148Â° with an airspeed of u = 920 kilometers per hour. Because of the wind, its groundspeed and direction are v = 820 kilometers per hour and 140Â°, respectively (see figure). Find the direction and speed of the wind.
Monday, November 2, 2015 by bob
I can't figure this out. A famous golfer tees off on a long, straight 459 yard par 4 and slices his drive 10 degrees to the right of the line from tee to the hole. If the drive went 288 yards, how many yards will the golfer's second shot have to be to reach the hole?
Thursday, October 29, 2015 by William
I need help with this application. A pier 1250 meters long extends at an angle from the shoreline. A surveyor walks to a point 1500 meters down the shoreline from the pier and measures the angle formed by the ends of the pier. It is found to be 53 degrees. What acute angle ( ...
Tuesday, October 27, 2015 by Hutch
an electric hoist is used to life a piece of equipment y = 2.6 feet. the diameter on the hoist is x = 12 inches. find the number of degrees through which the drum must rotate (round to the nearest integer). *I do apologize, there is a figure in my question, but I cannot paste ...
Wednesday, October 21, 2015 by xiahou
mercury rotates around the sun in approx. 89 earth days (or 7,689,600 s. use a calculator to approximate its angular speed. choices: 4.09x10^-7 0.035 0.071 8.17x10^-7
Wednesday, October 21, 2015 by Bill
a smokestack is 190 feet high. a guy wire must be fastened to the stack 30.0 feet from the top. the guy wire makes an angle of 39.0deg with the ground. find the length of the guy wire
Wednesday, October 21, 2015 by Struggler in math
A ship leaves port at noon and has a bearing of S 25Â° W. The ship sails at 15 knots. How many nautical miles south and how many nautical miles west does the ship travel by 6:00 P.M.? (Round your answers to two decimal places.) Miles South? Miles West?
Wednesday, October 21, 2015 by Rafael
The problem propmpts us with the info: "Two friends play with a card-board box on a grassy hill side. The boy in the box has a mass of 50.0 kg and the box has a mass of 5.00 kg. The incline of the hill is 44Â° and its height is 10 meter. Assume that friction ...
Sunday, October 11, 2015 by ana
find the values of the requested trig functions using the given value and quadrant in which the point corresponding to the angle lies. quadrant II; sinθ=4/5 find cosθ and tan θ
Saturday, October 10, 2015 by glen
identify all of the basic trig functions that fit each description. 1) is negative for angles in the 2nd and 4th quadrant 2) is unbounded answer: tan, cot 3) has a range of -1 ≤ y ≤ 1 answer: sin, cos are my answers correct? and i'm not sure what the answer to ...
Friday, October 9, 2015 by stewie
Having completed another stimulating school day, Michael and Alyssia both leave at the same time. They walk together for a while and then go their separate ways. These paths make a 60Â° angle with one another. Michael toddles along at 2ft/sec, while Alyssia speeds ...
Friday, October 9, 2015 by Anon
A fire hose ejects a stream of water at an angle of 33.6 Â° above the horizontal. The water leaves the nozzle with a speed of 29.6 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest ...
Friday, October 9, 2015 by Jenna
A triangle ABC has a trisected angle A. The angle trisectors divide side a (opposite angle A) into three segments which are BD, DE, and DC. The lengths are 2, 3, and 6, respectively. What are the lengths of the other sides?
Monday, October 5, 2015 by Z
1. what trig function has an amplitue of 1 and negative values for angles between π/2 and π? 2. what trig function never crosses the x-axis and has a value of 2 at π/6? are these correct? 3. what trig function has a period of π and is undefined for -π/...
Monday, September 28, 2015 by anon
A skateboard wheel has a radius of 2.08 inches and is turning at a rate of 945 rpm. a. what is the angular speed in radians per second? in degrees per second? b. how fast is the skateboard traveling (in miles per hour)?
Saturday, September 26, 2015 by Mohamad
Identify all of the trig functions that fit each description: 1. Has a amplitude of 1 2. Is discontinuous at odd multiples of π/2 3. Is continuous at odd multiples of π/2 4. Has sin x as a denominator value 5. Is completely bounded 6. Has the exxact same value at ...
Tuesday, September 22, 2015 by Anon
find the value for the indicated trig function for Ã¸, if Ã¸ is an angle in standard position with the terminal side defined by the given point. (18,24); find cos Ã¸
Tuesday, September 22, 2015 by Kimmy
The foot of a ladder is on level ground 1.5m from a wall. The ladder leans agents the wall. The angle formed by the ladder and the ground is 70 degrees. Calculate how high up the wall the ladder reaches.
Tuesday, September 15, 2015 by Emily
A plane's flight path called for it to fly from J to W. W is 200kms due North and 500kms due west of J. Draw a coordinate picture. What bearing will the pilot fly and what distance will he or she go in air kilometers?
Monday, September 7, 2015 by K
During takeoff, an airplane climbs with a speed of 300 m/s at an angle of 36 degrees above the horizontal. The speed and direction of the airplane constitute a vector quantity known as the velocity. The sun is shining directly overhead. How fast is the shadow of the plane ...
Thursday, September 3, 2015 by Jenna
A radio transmission tower is 471.0 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23.1 degrees with the ground? How many feet long should the guy wire be? I am confused on how to find the equation for this problem so that I may work it ...
Tuesday, June 16, 2015 by Coaco
Wendy spots a pizza delivery car as she is looking down at a 15Â° angle from the top of her apartment building, which is 145 ft tall. How far away is the car from the base of the building? Round to the nearest hundredth. A. 45.98 ft B. 3.56 ft C. 38.85 ft D. 68.78 ft...
Thursday, May 28, 2015 by Rothko
An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the northwest at 50 km/hr. how many degrees off course will the plane end up flying, and what is the plane's speed relative to the ground? So here is my work... 50cos(45)+500= 535....
Thursday, May 28, 2015 by Dan
Find sin2theta, cos2theta, and tan2theta for costheta = -12/13 in pi < theta < 3pi/2. My answers: 20111/24336 for tan2theta. 144/169 for cos2theta -120/338 for sin2theta
Wednesday, May 20, 2015 by Anonymous
algebra 2 and trig
The scores on a chemistry test are normally distributed. Approximately 95 percent of the scores fell between 78 and 92. What is the standard deviation for this distribution?
Monday, May 18, 2015 by caroline
Solve the equation for the given domain. 4cos^2 θ = 1 for 0 to 360 degrees. I get 60, 120, 240, and 300. Are these correct? If so, how would I represent them with some sort of expression?
Saturday, May 16, 2015 by Anonymous
Prove the following identities: 13. tan(x) + sec(x) = (cos(x)) / (1-sin(x)) *Sorry for any confusing parenthesis.* My work: I simplified the left side to a. ((sinx) / (cosx)) + (1 / cosx) , then b. (sinx + 1) / cosx = (cos(x)) / (1-sin(x)) I don't know how to verify the ...
Tuesday, May 12, 2015 by Taylor
a vertical pole 35 feet high, standing on sloping ground, is braced by a wire which extends from the top of the pole to a point on the ground 25 feet from the foot of the pole. If the pole subtends an angle of 30 degree at the point where the wire reaches the ground, how long ...
Sunday, May 10, 2015 by thrish
A ladder 35.4 feet long is leaning against an embarkment inclined 62.5 degrees to the horizontal. If the bottom of the ladder is 10.2 feet from the embarkment, what is the distance from the top of the ladder down the embarkment to the ground?
Sunday, May 10, 2015 by thrish
From a certain point, the angle of elevation of the top of the building is 38. From a point 75 feet nearer the building, the angle of elevation is 65. Find the height of the building.
Saturday, May 9, 2015 by thrish
Two pilots take off from the same airport. Mason heads due south. Nancy heads 23 west of south. After 400 land miles, how far is Nancy from Masonâs route? I think 156.29, but I'm not sure because the question comes in a lesson on sum and ...
Saturday, May 9, 2015 by Anonymous
Find sin(s+t) and (s-t) if cos(s)= 1/5 and sin(t) = 3/5 and s and t are in quadrant 1. =Sin(s)cos(t) + Cos(s)Sin(t) =Sin(1/5)Cos(3/5) + Cos(-1/5)Sin(3/5) = 0.389418 Sin(s-t) =sin(s)cos(t) - cos(s)sin(t) =sin(-3/5)cos(1/5) - cos(1/5)sin(3/5) =Sin-3/5 cos-3/5 = -0.46602 HELP ...
Thursday, May 7, 2015 by Sally
Find the values of sin 0, cos 0, and tan 0ÆÃ¡if the angle 0ÆÃ¡is in standard position and its terminal side passes through the point (Â¡V15, 8). Give answers as fractions.
Sunday, May 3, 2015 by justin
Find the bearing and airspeed for a plane to fly 630 miles due north in 3 hours if the wind is blowing from a direction of 318* and is blowing at 15mph. Approximate the bearing to the nearest degree and the speed to the nearest mile per hour.
Tuesday, April 28, 2015 by lynn
Forces of 15 kg and 10 kg act on a point with an angle of 60◦ between the forces. Find the magnitude of the resultant force (to nearest tenth of a kilogram) and the angle (to the nearest degree) the resultant makes with the 15 kg force
Tuesday, April 28, 2015 by syed
The equation of a transverse wave traveling in a string is given by y(x,t) = 10 cos (π/2)(0.0050x - 8.0t + 0.57), in which x and y are expressed in centimeters and t in seconds. Write down the equation of a wave which, when added to the given one, would produce standing ...
Tuesday, April 28, 2015 by Nora
Please help with this question: A plane travels a distance of 140 km due west of Vancouver International Airport. It then travels 60 km at a bearing of 340 degrees. How far from the Airport is the plane? Thank you for all your help.
Monday, April 20, 2015 by Cassandra
Can you please help with this trig question: The angle of elevation to the top of a nearby mountain is 46 degrees. After walking 1 km toward the mountain, you determine the angle of elevation to be 68 degrees. How high is the mountain? Thank you for all your help.
Monday, April 20, 2015 by Cassandra
Precalculus Trig (Geometry)
A rectangular doorway is 38 meters wide and 60 meters high. The doorway is capped with a semi-ellipse that is 13 meters high at its center. Find the height h of the doorway and window 5 meters from the center. From the ellipse equation, I can see that a should be 19 and b ...
Sunday, April 19, 2015 by Michele
Precalculus Trig (Geometry)
A large doorway has the shape of a parabolic arch. The doorway is 20 feet high at the top of the arch and 20 feet wide at the base. At a height of 10 feet above the floor, find the width of the arch. If you start the vertex of the parabola at 0,0, that means the equation ...
Sunday, April 19, 2015 by Michele
Karen earns 43 dollars per week working pt at a bookstore. she makes one dollar more for each book she sells. the amt A, in dollars that Karen earns in a week ifshe sells b books is given in the function A(b) =43 + b how much does she earnin a week if she sells 22 books?
Saturday, April 18, 2015 by denise
Initially a fifty foot ladder rests against a wall. As I start to climb it, the ladder slides down, finally stopping such that the ladder touches the wall at a point 8 feet below where it originally touched the wall. During the slide, the base of the ladder slid 16 feet from ...
Wednesday, April 15, 2015 by eman
if sin23=p,write down the following in terms of P *cos113 *cos23 *sin46 so i draw the diagram an solve for x in terms of P an got 1-p so i don't know how to apply cos113and sin46 in terms of 23 or P but *cos 23 i wrote it as> 1-p/1 wch is 1-p
Sunday, April 5, 2015 by onika
Calculus 2 (Differential Equation)
How would you solve the following problem explicitly? Sqrt(1-y^2) dx - sqrt(1-x^2) dy I separated the x and y terms and got: Integral of 1/sqrt(1-x^2) dx = Integral of 1/sqrt(1-y^2) dy I was wondering how would you take the anti-derivative of each function. I believe we are ...
Thursday, March 26, 2015 by Rena
calculus trig substitution
∫ x^3 √(x^2+9) dx If you work it can you write the steps? I really don't like the way my teacher teaches it. Someone else doing it might help.
Saturday, March 14, 2015 by Allie
A frisbee is thrown within an angular velocity of 360 rpm. If the diameter of the frisbee is 12 inches, how fast does it travel when it hits the ground rolling on the side? round your answer to the nearest mph
Thursday, March 12, 2015 by Angela
Trig verifying identities
I am having trouble with this problem. sec^2(pi/2-x)-1= cot ^2x I got : By cofunction identity sec(90 degrees - x) = csc x secx csc-1 = cot^2x Then split sec x and csc-1 into two fractions and multiplied both numerator and denominators by csc and got: sec x csc^2x-1= cot^2x ...
Monday, March 9, 2015 by Hutch
i think its a or b Which scenario describes periodic behavior? A pendulum swinging back and forth A ball bouncing up and down on the ground The takeoff and landing of a jet plane The path a dolphin swims in the ocean
Friday, March 6, 2015 by Anonymous
Solve tan(40/90) for the double angle cos(2theta). I know I use the x^2 + y^2 = r^2 formula and cos(2theta) = cos^2theta - sin^2theta. But I don't understand my answer
Wednesday, March 4, 2015 by Anna
trig with enough info?
Two oil Wells are 4 km and 6 km from the river. The points along the river are 8 km apart. Find the common loading point on the river, using the shortest amount of pipe.
Wednesday, February 25, 2015 by Chris
An airplane is traveling at a speed of 724 km per hour at a bearing of N30Â°E. If the wind velocity is 32 km per hour from the west, find the resultant speed and direction of the plane.
Monday, February 23, 2015 by Lin