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: 16

Answer

$a=651 \; m$. $c=3735 \; m$.

Work Step by Step

The given values are $a=3678\; m$ $B=10.04^{\circ}$ By using trigonometric ratios in the figure Illustration 1. $\frac{a}{c}=\cos{B}$ Isolate $c$. $c=\frac{a}{\cos{B}}$ Plug all values. $c=\frac{3678\; m}{\cos{10.04^{\circ}}}$ Simplify (Use degree calculator). $c=3735 \; m$ (rounded value). By using trigonometric ratios in the figure Illustration 1. $\frac{b}{a}=\tan{B}$ Isolate $b$. $b=a\cdot \tan{B}$ Plug all values. $b=(3678\; m)\cdot \tan{(10.04^{\circ})}$ Simplify (Use degree calculator). $a=651 \; m$ (rounded value).
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