To find: The length of the ladder.
Answer to Problem 23E
The length of the ladder is
Explanation of Solution
Given information:
The given ladder slides down the wall at the rate of
Calculation:
Calculate the length of the ladder.
The ladder slides down the wall, so
Bottom of the ladder is slides away form the wall, so
Use the Pythagorean theorem
Differentiate both sides with respect to
Substitute the value of
When
Thus,
Therefore the length of the ladder is
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning