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: 20


See below.

Work Step by Step

$A=180-102-43=35^\circ$. Using the law of sines, $\frac{a}{\sin35^\circ}=\frac{21}{\sin102^\circ}\\a=\frac{21\sin35^\circ}{\sin102^\circ}\approx12.4$ $\frac{c}{\sin43^\circ}=\frac{21}{\sin102^\circ}\\c=\frac{21\sin43^\circ}{\sin102^\circ}\approx14.6$
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