Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.2 The Law of Cosines - 8.2 Exercises - Page 766: 9

Answer

$5$

Work Step by Step

From the law of cosines $x^{2}=1^{2}+\left( 4\sqrt {2}\right) ^{2}-2\times 1\times \left( 4\sqrt {2}\right) \times \cos 45=1+32-8=25\Rightarrow x=\sqrt {25}=5$
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