Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises: 54

Answer

$a=2$

Work Step by Step

1. First we need to find our ratios setting up two similar sides of the triangle. In this case, we know both hypotenuses, we will use them. It is better to reduce the ratio if it is possible $\frac{3}{9}=\frac{1}{3}$ 2. Make following three equivalent ratios $\frac{1}{3} =\frac{a}{6}$ 3. We need find a by solving the equation $\frac{1}{3} =\frac{a}{6}$ $3a=6$ $a=2$
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