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: 26

Answer

$74.3^{\circ}$

Work Step by Step

To convert $74^{\circ} 18'$ to decimal degrees, let's break it as- $74^{\circ} 18'$ = $74^{\circ}$ + $18'$ Now on dividing $18'$ by 60, we have the number of "decimal degrees" equivalent to $18'$ (as $ 1^{\circ} = 60'$) Therefore $74^{\circ} 18'$ = $74^{\circ}$ + $(\frac{18}{60})^{\circ}$ $74^{\circ} 18'$ = $74^{\circ}$ + $0.3^{\circ}$ $74^{\circ} 18'$ = $74.3^{\circ}$
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