The top of a ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the bottom of the ladder is3 m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question

The top of a ladder slides down a vertical wall at a rate of 0.15m/s
. At the moment when the bottom of the ladder is
3 m from the wall, it slides away from the wall at a rate of 0.2 m/s
. How long is the ladder?

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