A 3-foot kid wanted to play with his shadows in the middle of the night, with a flashlight as the only light source. The flashlight was placed on the floor such that the flashlight is 5 feet from a vertical wall and the light is directed on the wall. Away from the flashlight, the kid slowly walked 6 inches for every second towards the wall. In effect, the height of the kidď's shadow is changing. How fast is the height of the kid's shadow changing at the instant the kid is 2 feet from the wall? A. The kiď's shadow is growing at 15/8 feet per second. B. The kid's shadow is shortening at 5/6 feet per second. C. The kid's shadow is growing at 3/10 feet per second. D. The kid's shadow is shortening at 15/8 feet per second.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
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A3-foot kid wanted to play with his shadows in the middle of the night, with a flashlight as the only light source.
The flashlight was placed on the floor such that the flashlight is 5 feet from a vertical wall and the light is directed*
on the wall. Away from the flashlight, the kid slowly walked 6 inches for every second towards the wall. In effect,
the height of the kid's shadow is changing. How fast is the height of the kid's shadow changing at the instant
the kid is 2 feet from the wall?
A. The kid's shadow is growing at 15/8 feet per second.
B. The kid's shadow is shortening at 5/6 feet per second.
C. The kid's shadow is growing at 3/10 feet per second.
D. The kid's shadow is shortening at 15/8 feet per second.
Transcribed Image Text:A3-foot kid wanted to play with his shadows in the middle of the night, with a flashlight as the only light source. The flashlight was placed on the floor such that the flashlight is 5 feet from a vertical wall and the light is directed* on the wall. Away from the flashlight, the kid slowly walked 6 inches for every second towards the wall. In effect, the height of the kid's shadow is changing. How fast is the height of the kid's shadow changing at the instant the kid is 2 feet from the wall? A. The kid's shadow is growing at 15/8 feet per second. B. The kid's shadow is shortening at 5/6 feet per second. C. The kid's shadow is growing at 3/10 feet per second. D. The kid's shadow is shortening at 15/8 feet per second.
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