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 7 - Applications of Trigonometric Functions - Section 7.3 The Law of Cosines - 7.3 Assess Your Understanding - Page 559: 21

Answer

$b \approx4.14$ $A \approx 43.0^\circ$ $C\approx 27.0^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $b=\sqrt {(3)^2+(2)^2-2(3)(2)cos110^\circ}\approx4.14$ 2. Use the Law of Sines, $\frac{sinA}{3}=\frac{sin110^\circ}{4.14}$, thus $A=sin^{-1}(\frac{3sin110^\circ}{4.14})\approx 43.0^\circ$ 3. We have $C\approx(180-110-43.0)=27.0^\circ$
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