Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - Chapter Review - Review Exercises - Page 557: 28

Answer

$23.32\text{ ft}$

Work Step by Step

Let $x$ be the distance from $A$ to $C$. We know that the tangent of an angle is the opposite side divided by the adjacent side. Hence, here we can denote that $\tan{(25^\circ)}=\dfrac{x}{50}$ Solve for $x$ to obtain: $x=50\tan{(25^\circ)} \\x\approx23.32\text{ ft}$
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