A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving away at the rate of 15 ft/sec. At what rate is the angle between the ladder and the ground changing then?  The figure is attached, Thank you.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving away at the rate of 15 ft/sec. At what rate is the angle between the ladder and the ground changing then? 

The figure is attached, Thank you. 

y
13-ft ladder
y(t)
x(t)
X
Transcribed Image Text:y 13-ft ladder y(t) x(t) X
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