Answer
$48.0^\circ$
Work Step by Step
Use the Law of Cosines, we have $c^2=a^2+b^2-2ab\ cos(C)$ and $(21.2)^2=(28.4)^2+(16.9)^2-2(28.4)(16.9)cos(C)\approx40232.6$ which gives $cos(C)\approx0.6696$. Thus angle $C=acos(0.6696)\approx48.0^\circ$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 8 - Application of Trigonometry - Quiz - Page 772: 3
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