Answer
$\approx 52.2^0$
Work Step by Step
From the law of sines
$\dfrac {5}{\sin 80^0}=\dfrac {4}{\sin \theta }\Rightarrow \sin \theta =\dfrac {4\sin 80^0}{5}\approx 0.79\Rightarrow \theta \approx \sin ^{-1}\left( 0.79\right) \approx 52.2^0$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 6 - Review - Exercises - Page 529: 76
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