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: 7


$$a=10.4cm$$ $$c=25.9cm$$

Work Step by Step

To find side a, we can use the trigonometric ratio for tangent $tanA=\frac{a}{b}$ Where $A=23.7°$ $b=23.7cm$ Solving for a we get: $a=b*tanA$ $a=23.7cm*tan(23.7°)$ $a=23.7cm*0.4389$ $a=10.4cm$ To find side c (the hypotenuse), we can use the trigonometric ratio for cosine. $cosA=\frac{b}{c}$ Where $A=23.7°$ $b=23.7cm$ Solving for c we get: $c=\frac{b}{cosA}$ $c=\frac{23.7cm}{cos(23.7°)}$ $c=\frac{23.7cm}{0.9157}$ $c=25.9cm$
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