Algebra and Trigonometry 10th Edition

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

Chapter 8 - 8.6 - Trigonometric Form of a Complex Number - Review Exercises - Page 616: 2


$a=19$ $b=43.48$ $c=30.52$ $A=22°$ $B=121°$ $C=37°$

Work Step by Step

Let's find the angle opposite to $c$: $C=180°-22°-121°=37°$ $\frac{19}{sin~22°}=\frac{b}{sin~121°}$ $b=19\frac{sin~121°}{sin~22°}=43.48$ $\frac{19}{sin~22°}=\frac{c}{sin~37°}$ $b=19\frac{sin~37°}{sin~22°}=30.52$ $a=19$ $b=43.48$ $c=30.52$ $A=22°$ $B=121°$ $C=37°$
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