Algebra and Trigonometry 10th Edition

Published by Cengage Learning

Chapter 8 - 8.1 - Law of Sines - 8.1 Exercise - Page 566: 6

Answer

$a=36.50$ $b=11.05$ $c=45$

Work Step by Step

Let's find the angle opposite to a: $A=180°-135°-10°=35°$ $\frac{a}{sin~35°}=\frac{45}{sin~135°}$ $a=45\frac{sin~35°}{sin~135°}=36.50$ $\frac{b}{sin~10°}=\frac{45}{sin~135°}$ $b=45\frac{sin~10°}{sin~135°}=11.05$

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