A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 7/5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 7/5 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

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Question

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of
ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the
ladder is 6 ft from the wall?
rad/s
wall
10
y
ground

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