Prentice Hall Geometry

8-4 Angles of Elevation and Depression

Objective

To use angles of elevation and depression to solve problems

A Solve It problem demonstrates using angles of depression.
Image Long Description

The angles in the Solve It are formed below the horizontal black pipe. Angles formed above and below a horizontal line have specific names.

Suppose a person on the ground sees a hang glider at a 38 degrees angle above a horizontal line. This angle is the angle of elevation.

At the same time, a person in the hang glider sees the person on the ground at a 38 degrees angle below a horizontal line. This angle is the angle of depression.

A line extends diagonally from a person on the ground to a hang glider in the air. The line is 38 degrees, the angle of elevation, from a horizontal line at the person, and is 38 degrees, the angle of depression, from a horizontal line at the hang glider.

Notice that the angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Essential Understanding You can use the angles of elevation and depression as the acute angles of right triangles formed by a horizontal distance and a vertical height.


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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments