Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.7 - Applications and Models - 6.7 Exercises - Page 494: 5


$A=60°$ $B=30°$ $C=90°$ $a=10.39$ $b=6$ $c=12$

Work Step by Step

$A+B+C=180°$ $60°+B+90°=180°$ $B=180°-60°-90°=30°$ $sin~A=\frac{opp}{hyp}$ $sin~60°=\frac{a}{12}$ $a=12·\frac{\sqrt 3}{2}=6\sqrt 3=10.39$ $cos~A=\frac{adj}{hyp}$ $cos~60°=\frac{b}{12}$ $b=12·\frac{1}{2}=6$
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