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


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.
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