Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.4 Solutions and Applications off Right Triangles - 5.4 Exercises - Page 547: 27

Answer

$B= 29.0^\circ$, $a= 70.7\ cm$, and $c= 80.9\ cm$

Work Step by Step

Given $A=61.0^\circ, b=39.2\ cm$, we have $B=90.0^\circ-61.0^\circ=29.0^\circ$, $a=b\ tanA=39.2tan(61.0^\circ)\approx70.7\ cm$, and $c=\frac{b}{sinB}=\frac{39.2}{sin(29.0^\circ)}\approx80.9\ cm$
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