Answer
$42.6\ ft$.
Work Step by Step
Use the figure as shown. In triangle ABC, we have the angle $B=45^\circ$. Using the Law of Cosines, we have
$b^2=60^2+46^2-2(60)(46)cos(45^\circ)\approx1813$
which gives $b\approx42.6\ ft$.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 6 - Section 6.2 - The Law of Cosines - Exercise Set - Page 731: 50
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