Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Review Exercises: 21

Answer

The length of the shadow is $\approx 8.4$ ft.

Work Step by Step

Refer to the attachment: 1. Find the two missing angles in $\triangle ABC$ $\angle A = 90^{\circ} $(Given as a right angled triangle) $\angle B = 90 - 55 = 35^{\circ} $ $\angle C = 55^{\circ}$ (Alternate angles) 2. Use the sine law to solve for $x$ $\frac{x}{sin35} = \frac{12}{sin55}$ $ x = \frac{12sin35}{sin55}$ $ x = \frac{6.883...}{0.819...}$ $ x = 8.402... $ft $ x \approx 8.4 $ft
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