Algebra and Trigonometry 10th Edition

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

Chapter 8 - 8.1 - Law of Sines - 8.1 Exercise - Page 566: 8

Answer

$a=2.31$ $b=5.5$ $c=7.03$

Work Step by Step

Let's find the angle opposite to b: $B=180°-16°-123°=41°$ $\frac{a}{sin~16°}=\frac{5.5}{sin~41°}$ $a=5.5\frac{sin~16°}{sin~41°}=2.31$ $\frac{c}{sin~123°}=\frac{5.5}{sin~41°}$ $c=5.5\frac{sin~123°}{sin~41°}=7.03$
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