Precalculus (6th Edition)

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

Chapter 5 - Trigonometric Functions - Chapter 5 Test Prep - Review Exercises - Page 561: 61

Answer

$B= 50.28^\circ$, $a= 32.38\ m$, and $c= 50.66\ m$

Work Step by Step

Given $A=39.72^\circ, b=38.97\ m$, we have $B=90^\circ-39.72^\circ=50.28^\circ$, $a=b\ tanA=38.97\ tan39.72^\circ\approx32.38\ m$, and $c=\frac{b}{cosA}=\frac{38.97}{cos39.72^\circ}\approx50.66\ m$
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