Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - 8.2 The Law of Sines - 8.2 Assess Your Understanding - Page 531: 29

Answer

There is no triangle which can be formed from these values.

Work Step by Step

First, we can only calculate the angle $B$ with the help of the Law of Sines: $\frac{sin(A)}{a}=\frac{sin(B)}{b}$ $\frac{sin(60°)}{4}=\frac{sin(B)}{5}$ $sin(B)=1.083$ From this equation, we can get zero solutions, because the sine function can only have values of: $-1\le\sin x\le1$ Therefore there is no triangle which can be formed from these values.
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