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 443: 67

Answer

$x_1=48.50~cm$ $y_1=28~cm$ $x_2=28~cm$ $y_2=48.50~cm$

Work Step by Step

$cos~30°=\frac{x_1}{56}$ $x_1=56~\frac{\sqrt 3}{2}=48.50~cm$ $sin~30°=\frac{y_1}{56}$ $y_1=56~\frac{1}{2}=28~cm$ $cos(30°+30°)=cos~60°=\frac{x_2}{56}$ $x_2=56~\frac{1}{2}=28~cm$ $sin(30°+30°)=sin~60°=\frac{y_2}{56}$ $y_2=56~\frac{\sqrt 3}{2}=48.50~cm$
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