An electrician is working at the top of a ladder that is 16ft long and leaning against the wall when its bottom starts sliding at a rate of 1⁢ft/s. Fortunately, a fellow worker catches it when the ladder’s bottom is 7⁢ft from the wall. At what speed is the top of the ladder (along with the electrician) sliding down the wall at that instant? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to two decimal places.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 20P
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An electrician is working at the top of a ladder that is 16ft long and leaning against the wall when its bottom starts sliding at a rate of 1⁢ft/s. Fortunately, a fellow worker catches it when the ladder’s bottom is 7⁢ft from the wall. At what speed is the top of the ladder (along with the electrician) sliding down the wall at that instant? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to two decimal places.

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