Answer
$\theta = 30°$
Work Step by Step
To isolate θ, we take the inverse cosine of each side of the equation:
$\theta = \cos^{-1}{\left(\frac{\sqrt {3}}{2}\right)}$
Since $\cos{30^{o}}=\frac{\sqrt3}{2}$, then
$\theta = 30°$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 7 - Applications of Trigonometric Functions - Section 7.2 The Law of Sines - 7.2 Assess Your Understanding - Page 551: 2
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