### Trigonometry : What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?

What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?

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What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?

1. If a + b = 7, and a2 + b2 = 37, then what is the value of ab? 2. Isn't there an easy way to find out Pythagorean Triplets? 3:4:5 6:8:10 5:12:13 8:15:17 7:24:25 Please provide an equation or easy way to get triplets- e.g. some kind of relation. See the attached file.

Simplify: tan (2 arc cos (x/3)) Solution shall not contain trig and inverse trig functions. Do not use calculator.

[sin(x)^4 - sin(x)^2]/[sec(x)]= I tried simplifying, but I get cos(x)^5 - cos(x)^3 and this isn't right.

1. Find the length L from point A to the top of the pole. SEE ATTACHMENT FOR MORE REQUIRED INFO 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so th

Set -pi/2 <= x <= pi x = arcsin[sin(5pi/3)] = _______pi x = arcsin[sin(7pi/4)] = _______pi x = arccos[cos(-5pi/6)] = ______pi x = arccos[cos(3pi/2)] = _______pi x = arccos[cos(3pi/4)] = ______pi x = arctan[cos(3pi/2)] = ______pi x = arcsin[sin(7pi/6)] = _____pi Write as a multiple of pi. pi = 3.14159.

Please see the attached file for the fully formatted problems. PART 1: 1. Simplify the expression tan( arccos(x/5)) Your final answer is not supposed to contain any tirgonometric or inverse trigonometric functions. 2. Evaluate the following expressions. Your answer must be an angle -pi/2 <= theta <= pi in radians, wri

Given a space curve C defined by r(t)=(3 sin t)I + (3 cos t)j + 4tk. Find v(t), a(t), T(t), K, N(t), B(t), aT and aN at t=pi/2. ---

You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group a

A) looking for the distance VP b) diameter of the pipe c) formula for d in terms of VP d) formula for VP in terms of d ----------------------------------------- 1) tire durability 2) tan(x+450 degrees0 cannot be simplified using tangent sum formula. why? 3) difference between trig equation that is an identity and trig equ

(See attached file for full problem description and diagrams) --- Need help with the following questions. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high.

Suppose sin t = 6/7 and cos t < 0 How do I find cos t?

In the movie Close Encounters of Third Kind, there was a scene where the star, Richard Dreyfuss, was approaching Devil's Tower in Wyoming. He could have determined his distance from Devil's Tower by first stopping at point P, and taken a measurement of the angle from his location to the height of the tower of 13.5 degrees. He

What is the amplitude of the wave of the equation y=-4 sin 5x?

--- (See attached file for full problem description)

I am trying to find the grad function of the spherical polar coordinates shown on the attached file. I have completed the question to a certain extent but am not sure if it is correct. Could you please ensure its accuracy and complete by simplifying the solution (trig identities etc) as I am unable to do so? (See attached f

What is the difference between a trig equation that is an identity and a trig equation that is not an identity? Provide an example to clarify.

Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas. (Please show all work).

I have included all details on attached file. Please help me get to the final line of the question.

Please see attached Verify using the method of residues:

Solve for solutions in interval of {0 degrees, 360 degrees) Show all steps. tanA=2sinA.

1-cosx= 2/(cos^2(x/2)) How can this be verified? Read as one minus cosinex equals two over cosine squared x over 2 (half-angle squared).

Trigonometry Review 1. Assume the angle of inclination of the sun is given by Theta = (pi/12)t, where t is the number of hours after sunrise. Suppose we have a 10 meter high flagpole. a. What is the angular velocity of the sun? b. Write an equation for the length of the flagpole's shadow when the angle of the sun is theta rad

Find the solution to: PDE: u*xx-c(to the power of negative k)u*tt=0 , 0 ICs: u(x,0)=f(x) and u*t(x,0)=g(x), x>=0 BC: u*x(0,t)=0 , t>=0 This BC corresponds to a string with its end point free to move in a vertical direction. (Please remember to include to boundary condition in your solution. Thanks very much!)

Let u(x; y) be the solution on 0 < x < 2 and 0 < y < 2 of uxx + uyy = 0 with u(0, y) = u(2, y) = u(x, 2) = 0 and u(x, 0) = f(x) the triangular pulse with f(0) = f(2) = 0 and f(1) = 2. f(x) = {2x 0<x<1 {-2x+4 1<x<2 Let uj,k = u(j/2; k/2) for j = 1; 2; 3 and k = 1; 2; 3 as obtained by the numerical method. (a)

See the attached file. 1. Convert the measure to radians : 2/3 revolution counterclockwise from the x-axis. 2. Evaluate arcsin ½. 3. Evaluate csc(arcsin5/13). 4. Evaluate sin(artan pi). [Please show your steps]. Please see the attached file for the fully formatted problems.

Use the sum and difference formulas to find the exact value of cos(255 degrees) Which of these is the correct answer? A. (-√2 + √6)/4 B. (√2 - √6)/4 C. (√2 + √6)/4 D. (-√2 - √6)/4 [show your steps in completing this problem]

Identify the expression that completes the equation (1+sinx/cosx) + (cosx/1+sinx). A. -2sinx B. 2cscx C. 2secx D. 1 [show the identities and the steps involved in completing this problem]

Please see the attached file for the fully formatted problem. Use trigonometric substitution to write the algebraic expression sqrt(36-4x2) as a trigonometric function, where the substitution is x = 3 cos theta and 0<theta<pi/2.

See attached file --- find all solutions of the equation in the interval [0,2). tan(x+ pi) + 2sin(x+pi) = 0 [show all the steps in solving this equation, not just the answer] ---