Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - Chapter Test - Page 537: 14


$x \approx 41^{\circ}$

Work Step by Step

In this exercise, we are given the side opposite to $\angle x$ and the side adjacent to $\angle x$. We can use the tangent ratio to find $x$: tan $x = \frac{opposite}{adjacent}$ Let's plug in what we know: tan $x = \frac{6}{7}$ Take $tan^{-1}$ of both sides to find the measure of $x$: $x \approx 41^{\circ}$
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