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 639: 50

Answer

$209.9$ feet

Work Step by Step

We can use the tangent of the triangle to solve for the angle. Since, $\tan \theta= \dfrac{Opposite}{Adjacent}$ $\tan 63^{\circ}= \dfrac{h_1}{330} $ and $\tan 53^{\circ}= \dfrac{h_1}{330} $ Simplify after subtracting the difference: $ h_1=330 \tan 63^{\circ}-330 \tan 53^{\circ} =209.9$ feet
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