Elementary Geometry for College Students (5th Edition)

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

Chapter 11 - Section 11.2 - The Cosine Ratio and Applications - Exercises: 32

Answer

$150.7$ ft

Work Step by Step

Let $x$ be the distance from Journey's eyes to the top of the cliff. Let $h$ be the height of the cliff. $\cos37=\frac{200}{x}$ $x=\frac{200}{\cos37}$ $x\approx250.4$ $\sin37=\frac{h}{x}$ $\sin37\approx\frac{h}{250.4}$ $250.4\times\sin37\approx h$ $h\approx150.7$
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