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: 4


$$a=62.5ft$$ $$c=68.9ft$$

Work Step by Step

To find side a we can use the trigonometric ratio for tangent $tanA=\frac{a}{b}$ Where $A=65.2°$ $b=28.9ft$ Solving for a we get: $a=b*tanA$ $a=28.9ft*tan(65.2°)$ $a=28.9ft*2.1642$ $a=62.5ft$ To find side c (the hypotenuse), we can use the trigonometric ratio for sine. $cosA=\frac{b}{c}$ Where $A=65.2°$ $b=28.9ft$ Solving for c we get: $c=\frac{b}{cosA}$ $c=\frac{28.9ft}{cos(65.2°)}$ $c=\frac{28.9ft}{0.4195}$ $c=68.9ft$
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