In: Math
A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 32 revolutions per minute. How fast is the light beam moving (in ft/sec) along the wall when the beam makes angles of θ = 45°, θ = 60°, and θ = 80° with the line perpendicular from the light to the wall? (Round your answers to two decimal places.)
(a) θ = 45°
ft/sec
(b) θ = 60°
ft/sec
(c) θ = 80°
ft/sec