Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises - Page 8: 30

Answer

$125^{\circ}$

Work Step by Step

The big hand is at $\frac{10}{60}360^{\circ}=60^{\circ}$, compared to twelve o'clock, the small hand is at $\frac{6}{12}360^{\circ}+\frac{10}{60}\frac{1}{12}360^{\circ}=180^{\circ}+5^{\circ}=185^{\circ}$. Therefore, the angle is $185^{\circ}-60^{\circ}=125^{\circ}$
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