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 700 miles per hour. Find the rates (in radians per hour) at which the angle of elevation ? is changing when the angle is  ? = 45°,   ? = 60°,  and  ? = 70°.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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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 700 miles per hour. Find the rates (in radians per hour) at which the angle of elevation ? is changing when the angle is 

? = 45°,

 

? = 60°,

 and 

? = 70°.
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