a. Determine the distance the light has traveled across the wall when θ=30°.[br]b. Determine the time when θ=30°.[br]c. Write a function that describes the angle, θ, at any given time t (in seconds).[br]d. Is there an angle in which the light is not shining on the wall?[br]e. Where is the beam when the light has rotated 150°?[br]f. Create a function p(t) that describes the location of the light on the wall based on its original position at any given time t (in seconds).