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: 36

Answer

$a= 306\ m$, $b= 1248\ m$, and $B= 76^\circ13'$

Work Step by Step

Given $A=13^\circ47', c=1285\ m$, we have $a=c\ sinA=1285sin(13^\circ47')\approx306\ m$, $b=c\ cosA=1285cos(13^\circ47')\approx1248\ m$, and $B=90^\circ-13^\circ47'=76^\circ13'$
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