Trigonometry (10th Edition)

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.3 The Unit Circle and Circular Functions - 3.3 Exercises - Page 120: 87f

Answer

$US = \frac{\sqrt{3}}{3}$

Work Step by Step

$\frac{US}{OS} = tan ~30^{\circ}$ $\frac{US}{OS} = \frac{1}{\sqrt{3}}$ $US = \frac{OS}{\sqrt{3}}$ $US = \frac{1}{\sqrt{3}}$ $US = \frac{\sqrt{3}}{3}$
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