Solve the following problems involving inverse trigonometric functions.  A ladder 17 ft. long leans against a vertical wall. If the top slides down at 2.15ft per second. How fast is the angle of elevation of the ladder decreasing, when the lower end of is 13 ft. from the wall?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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Solve the following problems involving inverse trigonometric functions. 

A ladder 17 ft. long leans against a vertical wall. If the top slides down at 2.15ft per second. How fast is the angle of elevation of the ladder decreasing, when the lower end of is 13 ft. from the wall?

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