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: 23

Answer

$19^{\circ}$ $54'$

Work Step by Step

To convert $19.9^{\circ}$ to degrees and minutes, let's break it as- $19.9^{\circ}$ = $19^{\circ}$ + $0.9^{\circ}$ Now on multiplying 0.9 by 60, we have the number of minutes equivalent to 0.9° Therefore $19.9^{\circ}$ = $19^{\circ}$ + $0.9(60')$ $19.9^{\circ}$ = $19^{\circ}$ + $54'$ $19.9^{\circ}$ = $19^{\circ}$ $54'$
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