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 361: 24

Answer

$61.71^{\circ}$

Work Step by Step

We know that $1"=\frac{1}{3600}^o$ $1'=\frac{1}{60}^o$. Use a calculator and the conversion factors above to obtain: $61^{\circ}42'21''\\=61^{\circ}+\left(\frac{42}{60}\right)^{\circ}+\left(\frac{21}{3600}\right)^{\circ}\\=61.7058^{\circ}\\\approx61.71^{\circ}$
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