Trigonometry 7th Edition

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

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set: 25

Answer

$45.2^{\circ}$

Work Step by Step

To convert $45^{\circ} 12'$ to decimal degrees, let's break it as- $45^{\circ} 12'$ = $45^{\circ}$ + $12'$ Now on dividing $12'$ by 60, we have the number of "decimal degrees" equivalent to $12'$ Therefore $45^{\circ} 12'$ = $45^{\circ}$ + $(\frac{12}{60})^{\circ}$ $45^{\circ} 12'$ = $45^{\circ}$ + $0.2^{\circ}$ $45^{\circ} 12'$ = $45.2^{\circ}$
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