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 - Chapter Test - Page 559: 12

Answer

$88.69^\circ.$

Work Step by Step

We know that $1\text{mile}=5280$ft, hence $5\text{miles}=5\cdot5280\text{ft}=26400$ft. By the text of the exercise $\tan{(\theta)}=\frac{26400}{600}=44.$ Hence $\theta=\tan^{-1}{(44)}=88.69^\circ.$
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