Elementary Technical Mathematics

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

Chapter 13 - Review - Page 469: 15

Answer

$50.8^\circ$

Work Step by Step

Using the definition of tangent of the angle B, we have $$ \tan B=\frac{length \ of \ side\ opposite\ angle\ B}{length \ of \ side\ adjacent\ angle\ B}=\frac{3.21}{2.62}=1.2252 .$$ That is, $$ \tan B= 1.2252\Longrightarrow B=\tan^{-1} 1.2252=50.8^\circ .$$
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