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: 23

Answer

$\approx40.17^{\circ}$

Work Step by Step

We know that: $1"=\dfrac{1}{3600}^o$ $1'=\dfrac{1}{60}^o$. Use a calculator and the conversion factors above to obtain: $40^{\circ}10'25''\\ =40^o+\left(\frac{10}{60}\right)^o+\left(\frac{25}{3600}\right)^o\\ =40.1736^{\circ}\\ \approx40.17^{\circ}$
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