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: 20

Answer

$a= 1311.04\ m$, $b= 3330.68\ m$, $A= 21.4858^\circ$

Work Step by Step

Use the definitions of sine and cosine, we have $a=3579.42cos(68.5142^\circ)\approx 1311.04\ m$, $b=3579.42sin(68.5142^\circ)\approx 3330.68\ m$, and angle $A=90^\circ-68.5142^\circ=21.4858^\circ$
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