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 - 8-4 Angles of Elevation and Depression - Practice and Problem-Solving Exercises - Page 521: 41


$x = 45^{\circ}$

Work Step by Step

In this exercise, we are given the sides that are opposite and adjacent to an unknown angle. We can use the tangent ratio to find $x$, the unknown angle: tan $x = \frac{opposite}{adjacent}$ Let's plug in what we know: tan $x = \frac{6}{6}$ Take $tan^{-1}$ of the fraction to find the measure of $x$: $x = 45^{\circ}$
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