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: 14

Answer

$y = -\sqrt{3}~x$ and $x \geq 0$

Work Step by Step

A bearing of $150^{\circ}$ makes an angle of $60^{\circ}$ below the east axis. $tan~(-60^{\circ}) = -\frac{\sqrt{3}}{1}$ $\frac{y}{x} = -\frac{\sqrt{3}}{1}$ Then: $y = -\sqrt{3}~x$ and $x \geq 0$
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