A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 145 km away from the observer? The angle of elevation is changing at ______ radians/hr (enter a positive value).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 71E
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A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 145 km away from the observer?

The angle of elevation is changing at ______ radians/hr (enter a positive value). Round your answer to 3 decimal places.

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