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: 11

Answer

$c \approx3.75$ $A \approx32.1^\circ$ $B\approx 52.9^\circ$

Work Step by Step

1. Use the Law of Cosines, we have $c=\sqrt {(3)^2+(2)^2-2(3)(2)cos95^\circ}\approx3.75$ 2. Use the Law of Sines, we have $\frac{sinA}{2}=\frac{sin95^\circ}{3.75}$ 3. We have $A=sin^{-1}(\frac{2sin95^\circ}{3.75})\approx32.1^\circ$ 4. We have $B\approx180-95-32.1=52.9^\circ$
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