Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 305: 33

Answer

The sum of $A$ and $B$ is greater than $180^{\circ}$, so no triangle exists satisfying the given values.

Work Step by Step

$A = 103^{\circ}20'$ $a = 14.6~ft$ $b = 20.4~ft$ Since $b \gt a$, the angle which subtends $b$ must be larger than the angle which subtends $a$. That is: $B \gt A$. However, then the sum of $A$ and $B$ is greater than $180^{\circ}$, so no triangle exists satisfying the given values.
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.