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: 29

Answer

$A= 36^\circ$, $B= 54^\circ$, and $b= 18\ m$

Work Step by Step

Given $a=13\ m, c=22\ m$, we have $sinA=\frac{a}{c}=\frac{13}{22}$, thus $A=asin(\frac{13}{22})\approx36^\circ$, $B=90^\circ-36^\circ=54^\circ$, and $b=\sqrt {c^2-a^2}=\sqrt {22^2-13^2}\approx18\ m$
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