Explanation Given information: Length of the ladder is 20 ft . The rate at which the bottom of the ladder is siding is d x d t = 5 ft/sec . Calculation: Let the length of the wall be y ft . Apply the Pythagorean Theorem to the right angle triangle in the above figure, x 2 + y 2 = 20 2 (1) Substitute 12 for x to find the value of y . ( 12 ) 2 + y 2 = 400 y 2 = 256 y = 16 Differentiate the equation (1) with respect to t , 2 x d x d t +<

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Author: Tan

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Chapter 3.6, Problem 64E

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To find: The rate at which the top of the ladder is sliding down.

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Chapter 3.6, Problem 63E

Chapter 3.6, Problem 65E

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The rate at which the top of the ladder is sliding down.

Solution Summary: The author explains how the top of the ladder is sliding down at the rate of 3.75ft/sec.

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