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: 11

Answer

$A=83°20'$, $B=42°04'$, $C=54°36$ $a=22.01$, $b=14.88$, $c=18.1$$

Work Step by Step

$A=83°20'$, $C=54.6°=54°36'$ $A+B+C=180°$ $B=180°-83°20'-54°36'=42°04'$ $\frac{a}{sin~82°20'}=\frac{18.1}{sin~54°36'}$ $a=18.1~\frac{sin~82°20'}{sin~54°36'}=22.01$ $\frac{b}{sin~42°04'}=\frac{18.1}{sin~54°36'}$ $b=18.1~\frac{sin~42°04'}{sin~54°36'}=14.88$
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