A patrol car is parked 50 feet from a long warehouse (seefigure). The revolving light on top of the car turns at a rate of32 revolutions per minute. How fast is the light beam moving (inft/sec) along the wall when the beam makes angles of θ =45°, θ = 60°, and θ = 80° with the lineperpendicular from the light to the wall? (Round your answers totwo decimal places.)
(a)    θ = 45°
ft/sec
(b)    θ = 60°
  ft/sec
(c)    θ = 80°
ft/sec
