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: 1

Answer

$a=8$ $b=12.21$ $c=12.36$ $A=38°$ $B=70°$ $C=72°$

Work Step by Step

Let's find the angle opposite to $c$: $C=180°-38°-70°=72°$ $\frac{8}{sin~38°}=\frac{b}{sin~70°}$ $b=8\frac{sin~70°}{sin~38°}=12.21$ $\frac{8}{sin~38°}=\frac{c}{sin~72°}$ $c=8\frac{sin~72°}{sin~38°}=12.36$
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