Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.5 - The Law of Sines - 6.5 Exercises - Page 513: 7

Answer

$$\theta \approx 44 ^o$$

Work Step by Step

1. Use the law of sines to calculate $\theta$: $$\frac{sin \space 120^o}{45} = \frac{sin \space \theta}{36}$$ $$\frac{sin \space 120 ^o}{45} \times 36 = sin \space \theta$$ $$\theta = sin^{-1}(\frac{sin \space 120 ^o}{45} \times 36 ) \approx 44^o \space $$
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