Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.1 Radian Measures - 6.1 Exercises - Page 576: 97

Answer

$840\ ft$

Work Step by Step

The height of the mast equals to an arc length subtends to an angle of $\theta=2^\circ11'=(\frac{131}{60})^\circ$. The distance is the radius, we have $32.0=r\theta=(\frac{131}{60})^\circ\times\frac{\pi}{180^\circ}r$ which gives $r\approx840\ ft$
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