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 3.4 Linear and Angular Speed - 3.4 Exercises - Page 125: 39a

Answer

The angle formed by the earth's movement in one day is 0.0172 radians.

Work Step by Step

The earth moves through an angle of $2\pi$ radians in 365 days. We can find the angle formed by the earth's movement in one day: $\theta = \frac{2\pi~rad}{365~days}$ $\theta = 0.0172~rad/day$ The angle formed by the earth's movement in one day is 0.0172 radians.
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