A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). 16 12+ 8- 4 + 4 8. 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
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A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure).
165
12
8
+++ x
12
16 20
4.
8.
(a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving?
| ft/sec
(b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing?
ft/sec
Transcribed Image Text:A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). 165 12 8 +++ x 12 16 20 4. 8. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? | ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec
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