Saturday

August 29, 2015
Number of results: 7,269

**trigonometry **

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" I have to use logarithms and law of tangents . and then provide the check. which says law of sine or mollweids equation. I can't us the cosine law. If you ...
*February 26, 2011 by Anon*

**Summer School Calculus**

Add the following vectors , 7m/s [N30E] and 2m/s [S17E], using trigonometry. Once you draw these out into diagrams, you use the triangle law yes? How do you find the angles to use in the cosine and sine law? A little confused, thanks for the help.
*June 28, 2008 by Derek*

**trigonometry ?**

A cottage under construction is to be 15.6m wide. The two sides of the roof are to be supported by equal rafters that meet at a 52 degree angle. Determine the length of the rafters to the nearest cm using a) the cosine law b) the sine law I am not understanding this question ...
*March 16, 2010 by deborah*

**Trigonometry**

Cos D= -3/4. if the sine of the angle is positive, find the sine of the angle and determine the quadrant. Can anyone tell me the steps. I need to learn this.
*February 18, 2010 by Laly*

**CALCULUS**

How do I do this: add the following vectors , 7m/s [N30E] and 2m/s [S17E] I know that you must use trigonometry and break stuff up into components and use sine and cosine law; just not sure how. Thanks!
*June 28, 2008 by Casey*

**Trigonometry**

Evaluate the sine, cosine and tangent of -7pi/3. I got 1/2, sq. root of 3/2 and sq. root of three. My book says the sine and the tangent are negative, but I don't know why? Can you explain the rule??
*December 20, 2009 by Sam*

**Summer School Calculus**

Another one for you :P, add these two vectors using trigonometry (again)... 9N[S2W] and 11N[N31W]...Again, I am confused about the angles, I am not sure what value I should use for the cosine and sine law. THANKS AGAIN!!
*June 29, 2008 by Derek*

**maths**

Sine and Cosine rule are both used in solving trigonometry problems.Give an example of when the cosine rule is more appliciable than the sine rule?
*September 1, 2013 by Shane*

**PreCalc (Sine)**

I'm having trouble understanding a sine concept. For instance, I know that the sine of 15 is .25881. Likewise, the sine of 165 is also .25881. How can I find other values of sine that also equal .25881? Thank you very much.
*October 25, 2007 by Jim*

**trigonometry (repost) Mathmate**

I want to start by saying thank you . You have no idea how much u have helped me understand logarithms, even better then the books i have (it poorly explains the subject of trigonometry let alone logarithms and antilog). Your last explanation was very clear and i even ...
*February 26, 2011 by Anon*

**Trigonometry**

I had to find the sine, cosine and tangent of -150 degrees. I got - sq. root of 3/2, -1/2, and - sq. root of 3/3. But my book has -1/2 as the sine, and -sq. root of 3/3 as the cosine. Why is this? I thought that it was thirty degrees away from the axis, so I should use pi/3.
*December 20, 2009 by Sam*

**trigonometry **

If you know the sine of a number, how do you find its cosine?
*December 16, 2012 by rachel*

**Trigonometry (Law of Sine)**

Triangulation can be used to find the location of an object by measuring the angles to the object from two points at the end of a baseline. Two lookouts 20 miles apart on the coast spot a ship at sea. Using the figure below find the distance, d, the ship is from shore to the ...
*February 25, 2012 by Alianne*

**trigonometry**

in triangle abc, angle c is a right angle, AC=8,Bc=15 and AB=17 a.find Sine a b.Find cosine A c.Find Sine B d. Find COsine B E. the measure of angel A f. the measure of angela b Can u tell me the answers and how to do it. Because im in 8th grade
*May 18, 2010 by james*

**Trigonometry (Law of Sine)**

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile?
*February 25, 2012 by Alianne*

**Trigonometry (Law of Sine)**

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile? With solution ...
*February 25, 2012 by Alianne*

**trigonometry**

How to verify this identity: 1+ tan x (over) = secant x sine x + cos x
*February 24, 2010 by Debi*

**Trigonometry (Law of Sine)**

Triangulation can be used to find the location of an object by measuring the angles to the object from two points at the end of a baseline. Two lookouts 20 miles apart on the coast spot a ship at sea. Using the figure below find the distance, d, the ship is from shore to the ...
*February 25, 2012 by Alianne*

**Physics **

A horse runs 15 m [N 23° E] and then 32 m [S 35° E]. What is the total displacement of the horse? I can't even visualise this... My friend told me the basic steps on how to solve it, but I got the wrong answer anyways... d1 = 15 m [N 23° E] d1x = 15m sin 23° = 5.9 m d1y = 15 m...
*February 25, 2013 by a Canadian*

**Trigonometry**

Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x
*May 10, 2015 by Tim*

**math**

could someone please help.... a cottage under construction is to be 35.6m wide. the two sides of the roof are to be supported by equal rafters that meet at a 52 degree angle. determine the length of the rafters to the nearest cm using the cosine law and the sine law.
*March 23, 2010 by deborah*

**Math**

While evaluating the sine of a particular angle, an absent minded student failed to notice that his calculator was not in the correct angular mode. He was very lucky to end up with the right answer. What are the two smallest possible values of x such that the sine of x degrees...
*July 30, 2015 by Alecs*

**trigonometry**

If sine of an angle is ¼ and cosine of an angle is 15/4.. find cosecant.
*March 7, 2009 by Amber*

**trigonometry**

in triangle abc, m<c=90, bc=20, and ba=40. a.find sine a b.find measure of <a
*May 18, 2010 by james*

**Pre-Calculus (Trigonometry)**

An angle in standard position such that sinÈ = 5/13. Determine the possible values of È, to the nearest degree. Answer: I got 23°. (How do I get the second one?)
*February 22, 2015 by Lucina*

**trigonometry**

I have the trigonometric equations: y=3+2sec(pi/8)(x-3) y=12+4cot(pi/6)(x-1) y=3+7csc(pi/4)(x-1) how do I make these into sine, cosine, and tangent equations so that I can work with them more easily?
*November 7, 2007 by kenny*

**Trigonometry/ Please Help**

Given sine of alpha=2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions.
*January 13, 2011 by CJ*

**Math-Trigonometry**

Use the half-angle formulas to find the exact values. Cosine 165 degrees, Sine 157 degrees 30' and tan pi/8
*April 22, 2012 by Neicey*

** trigonometry**

okay so in my review packet under the "calculator" section it says law of sines and law of cosines. i dont know what that means. i wikipedia-ed it but i dont understand what they are saying. Please help!
*January 22, 2009 by Spencer*

**Algebra 2....**

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...
*April 17, 2013 by Anonymous*

**Algebra 2 ..**

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...
*April 18, 2013 by Anonymous*

**Algebra2---**

1. An artist is designing triangular mirrors. Determine the number of different triangles that she can form using the given measurements. Then solve the triangles. Round to the nearest tenth. a=4.2 cm b= 5.7 cm measure angle A= 39 degrees 2. What angle in the first quadrant ...
*April 18, 2013 by Anonymous*

**Geometry**

The word cosine literally means "the complement of the sine." Write a paragraph explaining how complements of sine and cosine are connected. I know that the sine and the cosine of complementary angles are the same. but how can i add more details/write a paragraph?
*April 15, 2014 by Helen*

**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 sinB...
*December 2, 2012 by Sammy*

**Trigonometry **

Write the equation of a sine wave (also called sine curve) given: 1. amplitude = 2 period = pi/2 phase shift = pi/8 vertical shift = 1 2. amplitude = 4 period = 3 phase shift = 2 vertical shift = -1 3. amplitude = 4 period = pi phase shift = -(pi/3) vertical shift = 0
*April 4, 2015 by Zeke*

**Physics**

Which of the following equations describes the condition for observing the fourth bright fringe in Young's double-slit interference pattern? Assume n = 0 for the central bright fringe. Which of the following equations describe the condition for observing the fourth dark fringe...
*January 24, 2013 by confused*

**math**

If your drawing a sine graph and you have to mark the point sine(65, how do you figure out where the point goes? (The sine graph goes up to 1)
*September 30, 2007 by Anonymous*

**Trigonometry**

express in terms of sine and cosine. a) tan theta/ cot theta i know the answer is sin^2 theta / cos ^2 theta but how do you do it?
*March 22, 2012 by Jonathan*

**Trigonometry**

Let è be the angle between the x-axis and the line connecting the origin O(0,0) and the point P(−3,−4) , where 180<è<270. Given that sinè+cosè+tanè=−a/b, where a and b are coprime positive integers. What is the value of a+b?
*March 11, 2013 by Tony*

**Pre-Calculus**

Solve the triangle. Round to the nearest tenth. B=54deg a=42 c=6.5 1. I found length of b using law of cosine and got 36.2 2. Using side of b, I used the law of sine to get angle A = 28.2 3. I added B+A and subtracted from 180 to get angle C = 127.8 which DOES NOT make sense ...
*December 7, 2009 by Vincent*

**Trigonometry**

Use a sine function to graph a sound wave with a period of 0.004 of a second and an amplitude of 3 cm. Find the frequency in hertz for this sound wave. (Enter only the number.)
*October 1, 2014 by Mariah*

**math**

could someone please help. given each set of data for ∆ABC: a) solve for b given ∠B=88 degrees,a=31.5m,c=25.6cm b) solve for a given ∠B=66 degrees,∠C=28 degrees,c=11.6cm i) state whether the sine law or cosine law is required to solve the unknown value...
*March 25, 2010 by deborah*

**Math**

Use sine law to explain why the 2 equal sides of an isoceles triangle must be opposite the two equal angles
*June 4, 2015 by Anonymous*

**Trigonometry**

these values right? tan theta=2/3 sec theta=Squareroot(13)/3 sine=2xSquareroot(13)/13 Cos=3xSquareroot(13)/13 Tan=2/3 Cosecant=Square root (13)/2 Secant=Squareroot(3)/3 Cotangent=3/2
*January 10, 2010 by Nick*

**physics**

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...
*July 7, 2010 by imran*

**physics**

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...
*July 8, 2010 by i NEED physics help asap!!!*

**maths please check**

a yacht is sailing at a speed of 12 knots due south in calm water. if the tacht encounters a current of 4 knots from bearing 040 degrees: determine the resultant speed and direction of the yacht. here is my answers: 15.28 knots from bearing 9.69 degrees.am i right? thanks. ...
*May 25, 2007 by Emma*

**math02 / trigonometric**

solve the following oblique triangles using sine law. Given: Y=55 degree 10 minute, b=125cm, beta=9 degree?
*January 22, 2012 by wenz*

**Trigonometry**

Solve the triangle using the law of cosine: a= 5 b= 6 y= 35
*July 8, 2013 by Hannah*

**math trigonometry**

A ladder 8.5m long is placed with its foot at a distance of 4m from the wall of a house and just reaches a window will . find the height of a window will and the sine and tan of the angle which the ladder makes with the wall
*April 17, 2015 by priya*

**physics grade 11**

Fretta and her brother deucde to visit some friends near a house.they decide to travel along the road and go 250 m(W),360 m(W40degreesN), and then200 m(N).. we need to find :the resultant displacement. hi please help me with this, so far iv figured it out as a rombus shape, so...
*July 8, 2010 by imran*

**sine and cosine**

Simplify and write the trigonometric expression in terms of sine and cosine: sin x + (cot x)(cos x) = (1/f(x)) f(x)= ?
*April 14, 2013 by tyler*

**Trigonometry**

A triangle has two angles, one 90 degrees, the other (between adjacent and hypotamuse) 26 degrees, and a hypotamuse of 10ft. Find the opposite side's length. Hint: use sine. I think I'm supposed to do 10(sine26), but the answer isn't right. What am I missing? Thanks!
*September 6, 2013 by DeeDee*

**cosine and sine HELP!**

Simplify and write the trigonometric expression in terms of sine and cosine: ((2+tan^2 x)(sec^2 x))-1 = (f(x))^2 f(x)= ???
*April 14, 2013 by tyler*

**Math**

calculus help needed example: sin-1(-1/2) how do you figure this out? The sin^-1 means the arcSin, or the angle whose sine is ... so sin^-1(1/2) is the angle whose sine is -.5, which is -30 degrees. In your calculator, put in -.5, then press INV sin. so as my answer do i put ...
*October 25, 2006 by Linds*

**ALGEBRA help**

What is the graph of one cycle of a sine curve with the given characteristics? Using the form y = a sin bÎ¸, what is an equation for the sine curve? amplitude = 4, period =1/4 pi , and a < 0.
*May 11, 2015 by Anny*

**Trigonometry**

When using the Law of Cosines, how do I know if two triangles exist?
*January 19, 2010 by Laurianne*

**math,trigonometry**

how do i state the law of sines and cosin in words ??
*January 13, 2015 by Anonymous*

**Trigonometry**

I'm trying to find the cosecant of 11 pi/6. The answer is -2, but I'm not sure where this came from. I thought You would flip the sine value which was sq. root of 3/2, making it 2/sq. root of three, which would then become sq. root of -6 over 3 or sq. root of -2. Why isn't ...
*December 10, 2009 by Delia*

**Algebra 2**

I meant to type this one: If the sine of an acute angle is 0.8, what is the sine of twice that angle? 1.60 or .64? Thanks
*May 28, 2010 by jeff*

**Graphing trigonometric function**

sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why? thanks a lot. well tangent is sine/cosine and there a place where the tangent function is undefined and that is where the asymptotes occur. the same is true with the cotangent since...
*March 8, 2007 by Anonymous*

**math**

Which statement is ALWAYS true? A) The sine of an angle is equal to the sine of the angle's complement. B) The cosine of an angle is equal to the sine of the angle's supplement. C) The sine of an angle is equal to the cosine of the angle's complement. D) The cosine of an angle...
*February 4, 2015 by Lauren*

**MATH HELP asap PLEASE**

A plane is steering at S83degreesE at an airspeed of 550 km/h. the wind is from N70degreesE at 85 km/h. Determine the ground velocity of plane to one decimal. Use the cosine and sine law.
*October 24, 2014 by Tina*

**Math (trigonometry)**

A surveyor wishes to find the height of a mountain. He selects points A and B on level ground along the same line of sight to the mountain. He measures the distance AB to be 1503 m and the angles of elevation of the top of the mountain from the points to be 16.9° from A and 22...
*December 2, 2012 by Sammy*

**math (domain)**

whats the domain and range of sine and tan? The sine ranges from -1 to +1. Its domain is all postive and negative numbers. I will be happy to critique your thinking on tangent.
*June 6, 2007 by Kelly*

**Trigonometry**

Using the Law of Cosines, how can I show that the measure of each angle of an equilateral triangle is 60 degrees?
*February 10, 2014 by McKenna Louise*

**math**

Two paper strips each 5 cm wide are laid across each other at an angle of 30 degrees. Determine the area of the overlapping area. I have no idea where to start with this question or how to go on. I know it has to do with cosine or sine law. But what do I do
*June 3, 2015 by lilly*

**Trigonometry**

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot–1...
*December 9, 2012 by Rodrick*

**Trigonometry**

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot–1...
*December 10, 2012 by Erick*

**trig**

A sinusoid (sine curve) rises from a minimum value of y=-8 at x=0 to a maximum value of y=40 at x=50. Write a sine function for this curve
*May 10, 2010 by Michael*

**Trig Functions**

Which of the following lists contains only functions with vertical asymptotes in their graphs? A. Cosine, sine, tangent, cotangent B. Tangent, secant, cosecant, cotangent C. Sine, tangent, secant, cosecant D. Cosine, sine, secant, cosecant
*July 26, 2012 by Anonymous*

**AMBIGUOUS CASE OF SINE LAW**

Triangle DEF where triangle E = 144 degrees, e = 10.5m and f = 12.5m. Determine the number of possible triangles that could be drawn with the given measures. Then, find the measure of the other angles in each possible triangle.
*February 10, 2013 by hitesh*

**trig**

2sinxcosx+4sin^2xcos^2x=0 solve for x in radians between [0,2pi) (I mean that it is sine squared x and cosine squared x not sine to the power of 2x or cosine to the power of 2x)
*December 19, 2012 by Emma*

**government**

Which branch of the law regulates wrongful acts involving injury to one’s person, property, or reputation in a situation not covered by the terms of a contract? A. common law B. tort law C. civil law D. contract law
*March 8, 2012 by Johana*

**government**

Which branch of the law regulates wrongful acts involving injury to one's person, property, or reputation in a situation not covered by the term of a contract? A. common law B. tort law C. civil law D. contract law
*April 2, 2012 by Charlette*

**bus law**

What is the chronological order of the major legislation that makes up the history of employment law in this country? For each law, state the social problem the law was designed to address, and discuss how employment law has affected the workplace in the last two decades.
*September 2, 2010 by kash*

**math-grd 11**

what do they mean by sine regression? i am currently working on the grd 11 isu and i am just wondering how i am supposed to incorpporate sine regreession into it? my isu is, you have a picture you have to find a curve in it and figure out the equation of it
*April 4, 2010 by just wondering*

**Science-Chemistry**

1. What is Charles’s law? • State the definition of the law in words. • What are the assumptions of Charles’s law? • Write mathematical equations that represent the law. • What can you do with Charles’s law? • Using a gas-filled balloon as an example, describe what happens to ...
*May 31, 2013 by Help needed.... Danielle*

**Trigonometry**

Law of Sines sigma=27 deg 30' c= 52.8 a=28.1 Please show two solutions (beta1, beta2,...) due to acute and obtuse angles. Thank you so much for helping!
*January 24, 2015 by Anonymous*

**trigonometry**

how do you find sin theta and cosine theta of angles? ex. Find the sine theta and cosine theta of 150 degrees as well as the degrees in radians?
*February 4, 2008 by mariya*

**Trigonometry**

(Triangle ABC is scalene) AC is a straight shore line and B is a boat out at sea. Angle A is 60 degrees and Angle C is 45 degrees. Find the shortest distance from the boat to the shore if A and C are 5km apart...I honestly have no idea where to start with this. I drew it out, ...
*January 28, 2015 by Abby*

**Government Law question**

What kind of law is it when judges make the law by their decisions on the bench? ___ Law
*January 14, 2013 by Allyson*

**Law**

Research and identify a labor law that is specific to your state. Share a brief summary of the law with us and discuss why you believe this law is or is not important to the employer-employee relationship.
*November 29, 2013 by Mattiazz*

**physics**

The width of the doorway is 83 cm, and the speed of sound is 343 m/s. Find the diffraction angle when the frequency is each of the following. (a) 4.8 kHz If theta is the diffraction angle. Sine(theta)= lambda/slit width where lambda = wave length so you need to find the ...
*May 1, 2007 by Cavin*

**Physics**

4. What does the slope of each of the following graphs stand for? (y versus x) a) mass vs volume b) velocity vs time c) mass vs force d) kinetic energy vs frequency e) sine incident angle vs sine refracted angle f) charge vs voltage g) voltage vs current h) force vs area
*April 11, 2013 by Alexis*

**Trig-sine, cosine law**

Two fire stations,P and Q,are 20 km apart. A ranger at station Q sees a fire 15.0 km away. If the angle between the line PQ and the line from P to the fire is 25degrees, how far to the nearest tenth of a kilometre, is station P from the fire?
*July 20, 2010 by Nada*

**legal and ethical issues**

select a current or proposed law that impacts the delivery of human services what reliable resources are availiable to learn about the implications of this law? What is the purpose or rationale of the law? How will the law effect da-t-day operations within human service ...
*June 2, 2008 by Tiff*

**math-grade 10**

a concrete border is to be built around a traingular flower garden that has sides of 10m , 7m and 8m. the border is to be staight walking path 1m wide on all sides of the garden. before the concrete can be poured, wooden forms need to be placed on the inside perimeter and on ...
*June 12, 2009 by just wondering*

**Civics**

In the case The Senate Of Tennessee V. John Thomas Scopes, high school biology teacher John Scopes was accused of teaching content that violated a Tennessee law that stopped public school teachers from teaching evolution. Scopes voted this law , but felt his right to free ...
*January 18, 2015 by jeje*

**Fourier Sine Series Q**

I have the function f(x) = cos(x) on the interval from 0 to pi and I need to comput the Fourier sine series. I have the integral of cos(x) multiplied by sin(nx), I can't figure out a way to integrate them! The "n" gets in the way, what do I do?
*June 22, 2008 by Neutral*

**Chemisrty**

Determine which law is appropriate for solving the following problem. What volume will 1.56 liters of a gas at 27°C and 745 mmHg of pressure occupy at 100°C and 700 mmHg of pressure? Law used: Boyle's Law Charles' Law Combined Gas Law
*October 19, 2011 by Angel*

**bioethics**

what is law natural law eternal law human positive law what is conscience different kinds of conscience pls need an answer thanks
*June 20, 2011 by joyce *

**Law**

Hi there! I have totally got to find out how the Aussie Law is similar to the US law. Anyway I DO like know that like Oz follows England law mainly but that isn't what I need. Bushells of Thanks Minnie
*April 25, 2008 by Minnie*

**business**

what is the chronological order of the major legislation that makes up the history of employment law in this country? for each law, state the social problem the law was designed to address and whether the law has solved the problem.
*April 27, 2011 by Sean*

**Trigonometry/Geometry - Law of sines and cosines**

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which...
*November 21, 2013 by Sam*

**plane and spherical trigonometry**

trigonometry in oblique triangles
*August 3, 2014 by keicer*

**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 ...
*January 13, 2015 by tina*

**bus/415**

What is the chronological order of the major legislation that makes up the history of employment law in this country? For each law, state the social problem the law was designed to address, and discuss how employment law has affected the workplace in the last two decades.
*August 17, 2010 by Shelly*

**trigonometry**

the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls
*February 10, 2012 by joe*

**Math **

The Pont du Gard near Nîmes, France, is a Roman aqueduct. An observer in a hot-air balloon some distance away from the aqueduct determines that the angle of depression to each end is 54° and 71°, respectively. The horizontal distance between the balloon and the aqueduct is 270...
*May 14, 2015 by Frances*