Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 430: 29

Answer

(a) $-345°~7'~12''$ (b) $27'$

Work Step by Step

$1'=60''$ $1°=60'$ $1°=60'\times\frac{60''}{1'}=3600''$ (a) $-345.12°=-(345°+0.12°·\frac{60'}{1°})=-(345°~7.2')=-[345°~(7'+0.2'·\frac{60''}{1'})]=-345°~7'~12''$ (b) $0.45°=0.45°·\frac{60'}{1°}=27'$
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