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: 31

Answer

$48.45^{\circ}$

Work Step by Step

To convert $48^{\circ} 27'$ to decimal degrees, let's break it as- $48^{\circ} 27'$ = $48^{\circ}$ + $27'$ Now on dividing $27'$ by 60, we have the number of "decimal degrees" equivalent to $27'$ (as $ 1^{\circ} = 60'$) Therefore $48^{\circ} 27'$ = $48^{\circ}$ + $(\frac{27}{60})^{\circ}$ $48^{\circ} 27'$ = $48^{\circ}$ + $0.45^{\circ}$ $48^{\circ} 27'$= $48.45^{\circ}$
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