A person 5 feet tall is walking away from a lamp post at the rate of 44 feet per minute. When the person is 6 feet from the lamp post, his shadow (see dashed line) is 15 feet long. Find the rate at which the length of the shadow is increasing when he is 24 feet from the lamp post. 5 ft The length of the shadow is increasing at a rate of feet per minute.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter19: Achievement Review—section One
Section: Chapter Questions
Problem 31AR: A shaft is turned in a lathe at 120 revolutions per minute. The cutting tool advances 0.030 inch per...
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A person 5 feet tall is walking away from a
lamp post at the rate of 44 feet per minute.
When the person is 6 feet from the lamp
post, his shadow (see dashed line) is 15
feet long. Find the rate at which the length
of the shadow is increasing when he is 24
feet from the lamp post.
5 ft
The length of the shadow is increasing at a rate of
feet per minute.
Transcribed Image Text:A person 5 feet tall is walking away from a lamp post at the rate of 44 feet per minute. When the person is 6 feet from the lamp post, his shadow (see dashed line) is 15 feet long. Find the rate at which the length of the shadow is increasing when he is 24 feet from the lamp post. 5 ft The length of the shadow is increasing at a rate of feet per minute.
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