Answer
$x=\sqrt {84}\approx 9.17$
Work Step by Step
From the law of cosines
$x^{2}=2^{2}+8^{2}-2\times 2\times 8\times \cos 120=68-32\times \cos 120=68-32\times \left( -\dfrac {1}{2}\right) =68+16=84$
$\Rightarrow x=\sqrt {84}\approx 9.17$
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: 73
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