Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.3 - Vertical and Horizontal Translations - 4.3 Problem Set - Page 219: 74

Answer

$\frac{100}{\pi}$ meters

Work Step by Step

Following example 2, the formula $s=r\theta$ requires the angles to be in radius. $\theta$ is currently in degrees, so we need to multiply it by $\pi/180$ to obtain it in radius. Hence here the arc length: $s=r\theta\\75=r(135)\pi/180\\r=\frac{100}{\pi}$
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