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: 7

Answer

$a=5.94$ $b=6.65$ $c=10$

Work Step by Step

Let's find the angle opposite to c: $C=180°-35°-40°=105°$ $\frac{a}{sin~35°}=\frac{10}{sin~105°}$ $a=10\frac{sin~35°}{sin~105°}=5.94$ $\frac{b}{sin~40°}=\frac{10}{sin~105°}$ $b=10\frac{sin~40°}{sin~105°}=6.65$
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