Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding - Page 362: 33

Answer

$19^{\circ}59'24''.$

Work Step by Step

We know that $1^o = 60’$ $1’=60"$ Use a calculator and the conversion factors above to obtain: $19.99^{\circ}\\=19^{\circ}+0.99\cdot60'\\=19^{\circ}+59.4'\\=19^{\circ}+59'+0.4\cdot60''\\=19^{\circ}+59'+24''.$
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