Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 442: 57


$y=9\sqrt 3$ $x=9$

Work Step by Step

$sin~θ=\frac{opp}{hyp}$ $sin~60°=\frac{y}{18}$ $\frac{\sqrt 3}{2}=\frac{y}{18}$ $y=18\frac{\sqrt 3}{2}=9\sqrt 3$ $cos~θ=\frac{adj}{hyp}$ $cos~60°=\frac{x}{18}$ $\frac{1}{2}=\frac{x}{18}$ $x=18\frac{1}{2}=9$
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