Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 105: 36b

Answer

62.9 mph. The driver deserves a ticket.

Work Step by Step

For r=16 in. , and, using part (a), $\theta\approx 248,914.29$ radians find the total arc length, s. $ s=r\theta$ $ s\approx (16$ in $) (248,914.29)=3,982,628.64$ in We convert to miles, $(3, 982, 628.64$ in. $) (\displaystyle \frac{1\ ft}{12\ in} )(\displaystyle \frac{1\ mi}{5280\ ft} )\approx 62.9$ mi (in one hour) The speed of the truck is 62.9 mph. The driver deserves a ticket.
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