Trigonometry Answers

Find sin18°.

A radio transmission tower is 220 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 33° with the ground?

two office towers are 35m apart. from the top of the tower, the angle of elevation to the top of the taller tower is 20 degrees. from the top of the taller tower, the angle of depression to the bottom of the shorter tower is 61 degrees. determine the height of each building. include a diagram(s) with your solution

y=3t^2+2e^3t+1/t+2cos3t

The angle of elevation from ground to the top of building and to the top of chimney which is at the top of building are x0 and 450 respectively. The height of building is h. What is height of chimney in meters?

cos(π/3 + A) = sin(π/6 - A)

Express 3 sin 4t + 8 cos 4t in the form R sin ( ωt + α ), α    

sin𝜃+cos𝜃= 1−2cos²𝜃/sin 𝜃−cos 𝜃

The value of the voltage in an ac circuit at any time t seconds is given by V1 = 70 sin (50 t). Going through a component results in the wave lagging by 0.32 radians, the result being V2 = 70 sin (50π t – 0.32).

a) For t = 0 to t = 80ms, use increments of 5ms plot the following 3 graphs on the same pair of axes.

V1 = 70 sin (50 t).

V2 = 70 sin (50π t – 0.32).

V3 = V1 + V2

b) For V2 = 70 sin (50π t – 0.32) state the voltage at t = 0, 20 and 50ms.

c)Verify the answers to (b) using sin (A – B) = sin A cos B – cos A sin B.

d)Use the sine and cosine rules to find the equation for V3.

Faraz installed a satellite dish on the roof his house. If Faraz (whose eye height is 1.7m) is standing 20 feet from the house and the angle between his line of sight and the top of the dish is 460 how high is the dish from the ground?