Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.1 - The Law of Sines - Exercise Set - Page 720: 31

Answer

There is no triangle possible with the provided measurements.

Work Step by Step

Use the ratio $\frac{a}{\sin A}$ or $\frac{9.3}{\sin 18{}^\circ }$. Now, use the law of sines to find B. $\begin{align} & \frac{b}{\sin B}=\frac{a}{\sin A} \\ & \frac{9.3}{\sin 18{}^\circ }=\frac{41}{\sin B} \\ & \sin B=\frac{41\sin 18{}^\circ }{9.3} \\ & B\approx 1.36 \end{align}$ As the sine ratio can never exceed 1, there is no angle B for which $\sin B=1.36$. There is no triangle with the provided measurements.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.