On a morning of a day when the sun will pass directly overhead, the shadow of a 72-ft building on level ground is 21 ft long, as shown in the figure. At the moment in question, the angle 0 the sun makes it the ground is increasing at the rate of 0.27°fmin. At what rate is the shadow decreasing? Express your answer in in.imin. (Remember to use radians.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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Transcribed Image Text:21 0 the sun makes with
On a morning of a day when the sun will pass directly overhead, the shadow of a 72-ft building on level ground is 21 ft long, as shown in the figure. At the moment in question, the angle 0 the sun makes with
the ground is increasing at the rate of 0.27 Imin. At what rate is the shadow decreasing? Express your answer in in./min. (Remember to use radians.)
.....
The shadow is decreasing at in./min.
(Round to one decimal place as needed.)
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Transcribed Image Text:On a morning of a day when the sun will pass directly overhead, the shadow of a 72-ft building on level ground is 21 ft long, as shown in the figure. At the moment in question, the angle 0 the sun makes with the ground is increasing at the rate of 0.27 Imin. At what rate is the shadow decreasing? Express your answer in in./min. (Remember to use radians.) ..... The shadow is decreasing at in./min. (Round to one decimal place as needed.) (1) More Clear All Help Me Solve This Textbook Print
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