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: 5


$a=14.14$ $b=20$ $c=27.32$ $a=180°-105°-45°=30°$

Work Step by Step

Let's find the angle opposite to a: $a=180°-105°-45°=30°$ $\frac{a}{sin~30°}=\frac{20}{sin~45°}$ $a=20\frac{sin~30°}{sin~45°}=14.14$ $\frac{c}{sin~105°}=\frac{20}{sin~45°}$ $c=20\frac{sin~105°}{sin~45°}=27.32$
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