Answer
$\theta = 90^{\circ}$
Work Step by Step
$L = 6077-31~cos~2\theta$
$6108 = 6077-31~cos~2\theta$
$31~cos~2\theta = 6077-6108$
$cos~2\theta = -\frac{31}{31}$
$2\theta = arccos(-1)$
$\theta = \frac{1}{2}~arccos(-1)$
$\theta = 90^{\circ}$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 6 - Review Exercises - Page 286: 66b
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