A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on the ground away from the garage. When the base of the tree is 8 feet from the garage, it is moving at a rate of 6 feet per second. At that instant, how fast is the angle between the tree and the ground changing?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
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Problem 5
A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on
the ground away from the garage. When the base of the tree is 8 feet from the garage, it is
moving at a rate of 6 feet per second. At that instant, how fast is the angle between the tree
and the ground changing?
Transcribed Image Text:Problem 5 A 20-foot-tall tree has fallen against the wall of a garage. The base of the tree starts to slide on the ground away from the garage. When the base of the tree is 8 feet from the garage, it is moving at a rate of 6 feet per second. At that instant, how fast is the angle between the tree and the ground changing?
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