Algebra 2 (1st Edition)

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

Chapter 13, Trigonometric Ratios and Functions - 13.5 Apply the Law of Sines - 13.5 Exercises - Skill Practice - Page 886: 22


See below.

Work Step by Step

$C=180-A-B=180-55-64=61^\circ$. Using the law of sines, $\frac{a}{\sin55^\circ}=\frac{34}{\sin61^\circ}\\a=\frac{34\sin55^\circ}{\sin61^\circ}\approx31.84$ $\frac{b}{\sin64^\circ}=\frac{34}{\sin61^\circ}\\b=\frac{34\sin64^\circ}{\sin61^\circ}\approx34.94$
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