Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Cumulative Review - Page 890: 12

Answer

$a\approx6.09$ $B\approx31.9^\circ$ $C\approx108.1^\circ$

Work Step by Step

1. Use the Law of Cosines to get $a=\sqrt {9^2+5^2-2(9)(5)cos(40^\circ)}\approx6.09$ 2. Use the Law of Sines to get $B=sin^{-1}(\frac{5sin40^\circ}{6.09})\approx31.9^\circ$ 3. Find the third angle $C=180-A-B\approx108.1^\circ$
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