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: 13

Answer

$a=161.7 \; mi$ $b=197.9 \; mi$

Work Step by Step

The given values are $c=255.6\; mi$ $A=39.25^{\circ}$ By using trigonometric ratios in the figure Illustration 1. $\frac{b}{c}=\cos{A}$ Isolate $b$. $b=\cos{A}\cdot c$ Plug all values. $b=cos{(39.25^{\circ})}\cdot (255.6\; mi)$ Simplify (Use degree calculator). $b=197.9 \; mi$ (correct to one decimal place). By using trigonometric ratios in the figure Illustration 1. $\frac{a}{c}=\sin{A}$ Isolate $a$. $a=\sin{A}\cdot c$ Plug all values. $a=\sin{(39.25^{\circ})}\cdot (255.6\;mi)$ Simplify (Use degree calculator). $a=161.7 \; mi$ (correct to one decimal place).
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