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: 20

Answer

$18^{\circ}$ $45'$

Work Step by Step

To convert $18.75^{\circ}$ to degrees and minutes, let's break it as- $18.75^{\circ}$ = $18^{\circ}$ + $0.75^{\circ}$ Now on multiplying 0.75 by 60, we have the number of minutes equivalent to 0.75° Therefore $18.75^{\circ}$ = $18^{\circ}$ + $0.75(60')$ $18.75^{\circ}$ = $18^{\circ}$ + $45'$ $18.75^{\circ}$ = $18^{\circ}$ $45'$
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