Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 13 - Review - Page 469: 14

Answer

$39.2^\circ$

Work Step by Step

Using the definition of tangent of the angle A, we have $$ \tan A=\frac{length \ of \ side\ opposite\ angle\ A}{length \ of \ side\ adjacent\ angle\ A}=\frac{2.62}{3.21}=0.8162 .$$ That is, $$ \tan A= 0.8162 \Longrightarrow A=\tan^{-1} 0.8162=39.2^\circ .$$
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