Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Quiz (Sections 7.1-7.3) - Page 325: 6


The two possible values for angle $A$ are $41.6^{\circ}$ and $138.4^{\circ}$

Work Step by Step

We can use the law of sines to find the angle $A$: $\frac{c}{sin~C} = \frac{a}{sin~A}$ $sin~A = \frac{a~sin~C}{c}$ $sin~A = \frac{(534)~sin~(25.4^{\circ})}{345}$ $A = arcsin(0.6639)$ $A = 41.6^{\circ}$ Note that we can also find another value for the angle A: $A = 180^{\circ}-41.6^{\circ} = 138.4^{\circ}$ The two possible values for angle $A$ are $41.6^{\circ}$ and $138.4^{\circ}$
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