Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - Quiz - Page 772: 7

Answer

$a \approx648$ $b \approx456$ $C= 28^\circ$

Work Step by Step

1. Find angle $C$ as $C=180^\circ-111^\circ-41.0^\circ=28^\circ$ 2. Use the Law of Sines, we have $\frac{sinC}{c}=\frac{sinA}{a}=\frac{sinB}{b}$ 3. We have $a=\frac{c\ sinA}{sinC}=\frac{326 sin111^\circ}{sin28^\circ}\approx648$ 4. We have $b=\frac{c\ sinB}{sinC}=\frac{326 sin41^\circ}{sin28^\circ}\approx456$
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