Analytical Geometry Question! (Calculus I Trigonometry & Related Rates)

Question

Given:

A rotating light is located 16 feet from a wall. The light completes one rotation every 2 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 20 degrees from perpendicular to the wall.

Solution:

___  feet per second

Answer 1

x = 16tanθ; dx/dt = 16sec²θdθ/dt = 16ft·sec²20°(2π/2)s^-1 = 56.9 ft/s