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: 28

Answer

$\approx 98.38°$

Work Step by Step

There are $60$ seconds in $1$minute. Hence $45"=\frac{45}{60}'=0.75'$ Hence $98°22'45"=98°(22+0.75)'$ $=98°22.75'$ There are $60$ minutes in $1$ degree. Hence $22.75'=\frac{22.75}{60}°\approx0.379°$ Hence $98°22'45"\approx (98+0.379°)°$ $\approx 98.38°$ (to two decimal places)
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