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: 28

Answer

$21.8^{\circ}$

Work Step by Step

To convert $21^{\circ} 48'$ to decimal degrees, let's break it as- $21^{\circ} 48'$ = $21^{\circ}$ + $48'$ Now on dividing $48'$ by 60, we have the number of "decimal degrees" equivalent to $48'$ (as $ 1^{\circ} = 60'$) Therefore $21^{\circ} 48'$ = $21^{\circ}$ + $(\frac{48}{60})^{\circ}$ $21^{\circ} 48'$ = $21^{\circ}$ + $0.8^{\circ}$ $21^{\circ} 48'$= $21.8^{\circ}$
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