Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 26: 90

Answer

$b = 2\sqrt{3}$

Work Step by Step

The terminal side of $60^{\circ}$ in standard position is represented by the blue line in the figure. We can find $b$ from the triangle in the figure $$\tan(60^{\circ}) = \frac{b}{2}$$ $$b = 2\times \tan(60^{\circ})$$ $$\therefore b = 2\sqrt{3}$$
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