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: 32

Answer

$29^{\circ}24'40''$.

Work Step by Step

We know that $1^o = 60’$ $1’=60"$. Use a calculator and the conversion factors above to obtain: $29.411^{\circ}\\=29^{\circ}+0.411\cdot60'\\=29^{\circ}+24.66'\\=29^{\circ}+24'+0.66\cdot60''\\=29^{\circ}+24'+39.6''\\\approx29^{\circ}24'40''$.
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