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: 27

Answer

7.5$^{\circ}$

Work Step by Step

1.$\frac{360^{\circ}}{12}= 30^{\circ}$ A clock is a circle, therefore has 360$^{\circ}$. When we divide on 12 we find degrees in each hour 2. $\frac{1}{4}\times$ 30 = 7.5$^{\circ}$ A distance between minute and hour hand at 3:15 is very small. As hour hand already passed 15/60 of the road to the 4 o clock, the degrees in one hour should be multiplied to the 1/4.
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