Trigonometry 7th Edition

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

Chapter 3 - Section 3.4 - Arc Length and Area of a Sector - 3.4 Problem Set - Page 154: 20

Answer

$83.8$ feet

Work Step by Step

We can determine the required distance as follows: $s=l\cdot\theta$ We plug in the known values to obtain: $s=4\cdot 20\cdot (\frac{\pi}{180})$ This simplifies to: $s=\frac{4\pi}{9}$ Now, we can calculate the distance travelled in one minute as $s=\frac{4\pi}{9}\times 60$ This simplifies to: $s=83.8$ feet
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