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: 30

Answer

$29.7^{\circ}$

Work Step by Step

To convert $29^{\circ} 40'$ to decimal degrees, let's break it as- $29^{\circ} 40'$ = $29^{\circ}$ + $40'$ Now on dividing $40'$ by 60, we have the number of "decimal degrees" equivalent to $40'$ (as $ 1^{\circ} = 60'$) Therefore $29^{\circ} 40'$ = $29^{\circ}$ + $(\frac{40}{60})^{\circ}$ $29^{\circ} 40'$ = $29^{\circ}$ + $0.666...^{\circ}$ $29^{\circ} 40'$ = $29^{\circ}$ + $0.7^{\circ}$ (Rounding to the nearest hundredth) $29^{\circ} 40'$= $29.7^{\circ}$
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