A 15 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 9 ft from the wall and sliding away from the wall at the rate of 6 ft/sec? By the Pythagorean Theorem, x2 + y2 = 225.  Find dy/dt  when  x = 9  and dx/dt = 6.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A 15 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 9 ft from the wall and sliding away from the wall at the rate of 6 ft/sec? By the Pythagorean Theorem, x2 + y2 = 225.

 Find dy/dt  when 

x = 9

 and dx/dt = 6.

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