A 15 foot ladder is leaning against a wall when its bottom starts to slide away. By the time the bottom is 9 feet from the base of the wall, the base of the ladder is moving at a rate of 0.2 ft/sec. How fast is the angle formed by the bottom of the ladder and the ground changing at that time?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
Question
A 15 foot ladder is leaning against a wall when its bottom starts to slide away. By the time the bottom is 9
feet from the base of the wall, the base of the ladder is moving at a rate of 0.2 ft/sec. How fast is the angle
formed by the bottom of the ladder and the ground changing at that time?
Transcribed Image Text:A 15 foot ladder is leaning against a wall when its bottom starts to slide away. By the time the bottom is 9 feet from the base of the wall, the base of the ladder is moving at a rate of 0.2 ft/sec. How fast is the angle formed by the bottom of the ladder and the ground changing at that time?
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