Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.5 Further Applications of Right Triangles - 2.5 Exercises - Page 90: 44a

Answer

$d = 23.4~ft$

Work Step by Step

We can find $\theta$: $\theta = \frac{57.3~S}{R}$ $\theta = \frac{(57.3)(336~ft)}{600~ft}$ $\theta = 32.1^{\circ}$ We can find the value of $d$: $d = R~(1-cos~\frac{\theta}{2})$ $d = (600~ft)(1-cos~\frac{32.1^{\circ}}{2})$ $d = 23.4~ft$
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