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: 55

Answer

x=6

Work Step by Step

1. First we need to find the ratio by setting up two similar sides of the triangles. In this case, we know both hypotenuses, so we use them to set our ratio. It is better to reduce the ratio, if it is possible. $\frac{6}{9}=\frac{2}{3}$ 2. Make following equivalent ratio $\frac{2}{3} =\frac{4}{x} $ 3. We will solve to find x $\frac{2}{3} =\frac{4}{x}$ $2x=12$ $x=6$
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