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: 9


$$a=6,687.7km$$ $$c=29,956.06km$$

Work Step by Step

To find side a, we can use the trigonometric ratio for tangent $tanA=\frac{a}{b}$ Where $A=12.9°$ $b=29,200km$ Solving for a we get: $a=b*tanA$ $a=29,200km*tan(12.9°)$ $a=29,200km*0.2290$ $a=6,687.7km$ To find side c (the hypotenuse), we can use the trigonometric ratio for cosine. $cosA=\frac{b}{c}$ Where $A=12.9°$ $b=29,200km$ Solving for c we get: $c=\frac{b}{cosA}$ $c=\frac{29,200km}{cos(12.9°)}$ $c=\frac{29,200km}{0.9748}$ $c=29,956.06km$
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