An airplane flies at an altitude of y = 5 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates (in radians per hour) at which the angle of elevation θ is changing when the angle is θ = 45∘, θ = 60∘, and θ = 80∘. (a) θ = 45∘ rad/hr (b) θ = 60∘ rad/hr (c) θ = 80∘ (Round your answer to two decimal places.) rad/hr