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 - Page 71: 21

Answer

$92^{\circ}$ $33'$

Work Step by Step

To convert $92.55^{\circ}$ to degrees and minutes, let's break it as- $92.55^{\circ}$ = $92^{\circ}$ + $0.55^{\circ}$ Now on multiplying 0.55 by 60, we have the number of minutes equivalent to 0.55° Therefore $92.55^{\circ}$ = $92^{\circ}$ + $0.55(60')$ $92.55^{\circ}$ = $92^{\circ}$ + $33'$ $92.55^{\circ}$ = $92^{\circ}$ $33'$
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