Trigonometry (11th Edition) Clone

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

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.2 The Ambiguous Case of the Law of Sines - 7.2 Exercises - Page 311: 35

Answer

The distance between $X$ and $Z$ is 664 m.

Work Step by Step

We can use the law of sines to find the distance $y$, which is the distance between $X$ and $Z$: $\frac{y}{sin~Y} = \frac{z}{sin~Z}$ $y = \frac{z~sin~Y}{sin~Z}$ $y = \frac{(960~m)~sin~(43^{\circ}30')}{sin~(95^{\circ}30')}$ $y = 664~m$ The distance between $X$ and $Z$ is 664 m.
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.