Trigonometry 7th Edition

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

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set - Page 11: 28

Answer

$ 120^{\circ}$

Work Step by Step

Hour hand completes one rotation in 12 hours, thus rotates through $360^{\circ}$- i.e. degrees swept in 12 hours = $360^{\circ}$ Therefore degrees swept in 1 hour = $\frac{360}{12} $ = $ 30^{\circ}$ So degrees swept in 4 hours = $4 \times 30^{\circ}$ = $ 120^{\circ}$
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