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 Review - Page 536: 16


$x = 33.1^{\circ}$

Work Step by Step

Since we have the measure of the side adjacent to an unknown angle and the hypotenuse of the right triangle, we can use the sine ratio to find $x$, which is the measure of the unknown angle. The tangent ratio is given as follows: sin $x = \frac{opposite}{hypotenuse}$ Let's plug in what we know: sin $x = \frac{12}{22}$ Take the $sin^{-1}$ of the fraction to solve for $x$: $x = 33.1^{\circ}$
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