A patrol car is parked 50 feet from a long warehouse (see figure). The revolving light...

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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

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