Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Review Exercises - Page 646: 119

Answer

$38 feet $

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ Let $\theta $ be the angle of elevation. Now, $\tan \theta= \dfrac{Opposite}{Adjacent}$ This gives: $\tan 25.6^{\circ}= \dfrac{h}{80}$ So, $ h=80 \times \tan 25.6^{\circ} =38 feet $
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