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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?

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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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