Trigonometry (10th Edition)

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

Chapter 3 - Review Exercises - Page 129: 20

Answer

The diameter of the moon is approximately 2156 miles.

Work Step by Step

We can convert the angle to radians: $\theta = (0.5170^{\circ})(\frac{\pi~rad}{180^{\circ}}) = 0.009023~rad$ Since the diameter of the moon is approximately equal to the arc length, we can estimate the diameter $d$ of the moon: $d \approx \theta ~r$ $d \approx (0.009023~rad)(238,900~mi)$ $d \approx 2156~mi$ The diameter of the moon is approximately 2156 miles.
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