A small plane, moving at 70 m/s, flies horizontally on a line 400 meters directly above an observer. Let θ be the angle of elevation of the plane (see figure below).

a. What is the rate of change of the angle of elevation dθ/dx when the plane is x = 500 m past the observer?

b. Graph dθ/dx as a function of x and determine the point at which u changes most rapidly.

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70 m/s 400 m Observer