Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Summary Exercises on Applications of Trigonometry and Vectors - Page 339: 9

Answer

The angle $B$ is not defined. There are no triangles which can be formed with the given values in the question. A piece of property given in the question could not exist.

Work Step by Step

Let $a = 21.9~yd$ Let $b = 78.3~yd$ Let angle $A = 38^{\circ}50'$ Let angle $B$ be the angle that subtends the side $b$. We can use the law of sines to find $B$: $\frac{a}{sin~A} = \frac{b}{sin~B}$ $sin~B = \frac{b~sin~A}{a}$ $sin~B = \frac{(78.3)~sin~38^{\circ}50'}{21.9}$ $sin~B = 2.24$ Since there is no angle $B$ such that $sin~B \gt 1$, the angle $B$ is not defined. There are no triangles which can be formed with the given values in the question. A piece of property given in the question could not exist.
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.