Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.6 Apply the Law of Cosines - 13.6 Exercises - Skill Practice - Page 893: 37

Answer

See below

Work Step by Step

Since the sum of the triangle is $180^\circ$, we obtain: $$A+B+C=180^\circ\\A=180^\circ-A-B\\A=180^\circ -98^\circ -37^\circ\\A=45^\circ$$ Use law of sines to find: $$\frac{a}{\sin A}=\frac{b}{\sin B}\\ b=\frac{a}{\sin A}\times \sin B\\b\approx 25.2^\circ$$ $$\frac{c}{\sin C}=\frac{a}{\sin A}\\c=\frac{a}{\sin A}\times \sin C\\c\approx15.3^\circ$$
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