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: 32

Answer

$A=63^\circ$, $B=27^\circ$, and $c=1076\ m$

Work Step by Step

Given $a=958\ m, b=489\ m$, we have $tanA=\frac{a}{b}=\frac{958}{489}$, thus $A=atan(\frac{958}{489})\approx 63^\circ$, $B=90^\circ- 63^\circ= 27^\circ$, and $c=\sqrt {a^2+b^2}=\sqrt {958^2+489^2}\approx1076\ m$
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