Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.1 Angles - 1.1 Exercises - Page 8: 34

Answer

142.5$^{\circ}$

Work Step by Step

1. 360$^{\circ}$/12 = 30$^{\circ}$ in each hour 2. (3/40) $\times$ 30$^{\circ}$ = 22.5 the distance between hour hand and one 3. 4 $\times$ 30 $^{\circ}$ = 120$^{\circ}$ minute hand is four "hours" away from one 4. 22.5$^{\circ}$ + 120$^{\circ}$ = 142.5$^{\circ}$
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