A moving shadow A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 30 ft away from the light. (See accompanying figure.) How fast is the shadow of the ball moving along the ground 1/2 sec later? (Assume the ball falls a distance s = 16² ft in t sec.) Light Ball at time t = 0 1/2 sec later 50-ft pole Shadow x(1) 30

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 79E
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A moving shadow A light shines from the top of a pole 50 ft
high. A ball is dropped from the same height from a point 30 ft
away from the light. (See accompanying figure.) How fast is the
shadow of the ball moving along the ground 1/2 sec later?
(Assume the ball falls a distance s = 16² ft in t sec.)
Light
Ball at time t = 0
1/2 sec later
50-ft
pole
Shadow
x(1)
30
Transcribed Image Text:A moving shadow A light shines from the top of a pole 50 ft high. A ball is dropped from the same height from a point 30 ft away from the light. (See accompanying figure.) How fast is the shadow of the ball moving along the ground 1/2 sec later? (Assume the ball falls a distance s = 16² ft in t sec.) Light Ball at time t = 0 1/2 sec later 50-ft pole Shadow x(1) 30
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