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: 27

Answer

$62.6^{\circ}$

Work Step by Step

To convert $62^{\circ} 36'$ to decimal degrees, let's break it as- $62^{\circ} 36'$ = $62^{\circ}$ + $36'$ Now on dividing $36'$ by 60, we have the number of "decimal degrees" equivalent to $36'$ (as $ 1^{\circ} = 60'$) Therefore $62^{\circ} 36'$ = $62^{\circ}$ + $(\frac{36}{60})^{\circ}$ $62^{\circ} 36'$ = $62^{\circ}$ + $0.6^{\circ}$ $62^{\circ} 36'$= $62.6^{\circ}$
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