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: 49

Answer

$33.7$ 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 31.7^{\circ}= \dfrac{h_1}{125} \implies h_1 =77.20 feet $ and $\tan 19.2^{\circ}= \dfrac{h_1}{125} \implies h_1=43.53 feet $ Simplify after subtracting the difference: $ h_1=77.20-43.53 \approx 33.7$ feet
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