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: 10


$$a=13.6mi$$ $$b=34.1mi$$

Work Step by Step

To find side a, we can use the trigonometric ratio for cosine. $cosB=\frac{a}{c}$ Where $B=68.3°$ $c=36.7mi$ Solving for a we get: $a=c*cosB$ $a=36.7mi*cos(68.3°)$ $a=36.7mi*0.3697$ $a=13.6mi$ To find side b, we can use the trigonometric ratio for sine. $sinB=\frac{b}{c}$ Where $B=68.3°$ $c=36.7mi$ Solving for b we get: $b=c*sinB$ $b=36.7mi*sin(68.3°)$ $b=36.7mi*0.9291$ $b=34.1mi$
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