Explanation Given information: The length of the ladder is 13 ft , the distance between the base of the ladder and wall is 12 ft, and the rate at which the base of the ladder is sliding is 8 ft/sec . Calculation: Let the length of the wall be y ft and the distance between the wall and the base of the ladder be x ft. Apply Pythagorean Theorem to find the value of y . x 2 + y 2 = 13 2 Substitute 12 for x in the above equation. ( 12 ) 2 + y 2 = 169 y 2 = 25 y = 5 Differentiate the equation x 2 + y 2 = 13 2 with respect to t

APPLIED CALCULUS FOR MGRL, LIFE, SOC SCI

10th Edition

ISBN: 9780357465400

Author: Tan

Publisher: CENGAGE L

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Chapter 3.6, Problem 65E

To determine

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

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Chapter 3.6, Problem 64E

Chapter 3.6, Problem 66E

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Chapter 3 Solutions

APPLIED CALCULUS FOR MGRL, LIFE, SOC SCI

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

Solution Summary: The author calculates the rate at which the top of the ladder is sliding down at 19.2ft/sec.

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

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Chapter 3 Solutions