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: 36



Work Step by Step

In this exercise, the height of the building is the side opposite to the unknown angle, and the shadow is the side adjacent to the angle. We can use the tangent ratio to find $x$, the angle of elevation: tan $x = \frac{opposite}{adjacent}$ Let's plug in what we know: tan $x = \frac{107}{90}$ Take $tan^{-1}$ of the fraction to find the measure of $x$: $x = 50^{\circ}$ The answer is option $C$.
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