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: 3


$$b=278.3km$$ $$c=364.9km$$

Work Step by Step

To find side b, we can use the trigonometric ratio for tangent $tanB=\frac{b}{a}$ Where $B=49.7°$ $a=236km$ Solving for b we get: $b=a*tanB$ $b=236km*tan(49.7°)$ $b=236km*1.1792$ $b=278.3km$ To find side c (the hypotenuse), we can use the trigonometric ratio for cosine. $cosB=\frac{a}{c}$ Where $B=49.7°$ $a=236km$ Solving for c we get: $c=\frac{a}{cosB}$ $c=\frac{236km}{cos(49.7°)}$ $c=\frac{236km}{0.6468}$ $c=364.9km$
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