Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 13 - Section 13.3 - Using Trigonometric Ratios to Find Sides - Exercise - Page 458: 5


$$a=29.3cm$$ $$b=39.4cm$$

Work Step by Step

To find side a, we can use the trigonometric ratio for sine. $sinA=\frac{a}{c}$ Where $A=36.7°$ $c=49.1cm$ Solving for a we get: $a=c*sinA$ $a=49.1cm*sin(36.7°)$ $a=49.1cm*0.5976$ $a=29.3cm$ To find side b, we can use the trigonometric ratio for cosine. $cosA=\frac{b}{c}$ Where $A=36.7°$ $c=49.1cm$ Solving for b we get: $b=c*cosA$ $b=49.1cm*cos(36.7°)$ $b=49.1cm*0.8018$ $b=39.4cm$
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