Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.5 Further Applications of Right Triangles - 2.5 Exercises - Page 81: 13

Answer

$y = \frac{\sqrt{3}~x}{3}$ and $x \leq 0$

Work Step by Step

A bearing of $240^{\circ}$ makes an angle of $30^{\circ}$ below the west axis. $tan~30^{\circ} = \frac{1}{\sqrt{3}}$ $\frac{y}{x} = \frac{1}{\sqrt{3}}$ Then: $y = \frac{\sqrt{3}~x}{3}$ and $x \leq 0$
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