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 - Quiz for Lessons 13.5-13.6 - Page 894: 1


See below.

Work Step by Step

$C=180-50-74=56^\circ$. Using the law of sines, $\frac{a}{\sin50^\circ}=\frac{12}{\sin56^\circ}\\a=\frac{12\sin50^\circ}{\sin56^\circ}\approx11.09$ $\frac{b}{\sin74^\circ}=\frac{12}{\sin56^\circ}\\b=\frac{12\sin74^\circ}{\sin56^\circ}\approx14.0$
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