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: 96

Answer

$0.12\ mi$

Work Step by Step

Given radius of the track $r=2.7\ mi$ and the subtend angle $\theta=2^\circ30'=2.5^\circ$, the length of the train, which equals to the arc length, can be found as $L=r\theta=2.7\times2.5^\circ\times\frac{\pi}{180^\circ}\approx0.12\ mi$
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