Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 640: 77


$48 feet $

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ $ h_1=(75+a) \tan 20^{\circ}$ and $ h_1= a \tan 40^{\circ}$ Now, $ a =\dfrac{75 \times \tan 20^{\circ}}{\tan 40^{\circ}-\tan 20^{\circ}}=57.45$ and $ h_1= 57.45 \times \tan 40^{\circ}=48 feet $
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