Honors Geometry Companion Book, Volume 2

8.2 Review Worksheet

8.2.1 Angles of Elevation and Depression Classify each angle as an angle of elevation or angle of depression. 1. ∠ l

4

3

1 2

2. ∠ 2

3. ∠ 3

4. ∠ 4

5.  To measure the height of a rock formation, a surveyor places her transit 100 m from its base and focuses the transit on the top of the formation. The angle of elevation is 67 ° . The transit is 1.5 m above the ground. What is the height of the rock formation? Round to the nearest meter.

6.  A forest ranger in a 120 ft observation tower sees a fire. The angle of depression to the fire is 3.5 ° . What is the horizontal distance between the tower and the fire? Round to the nearest foot.

7.  Marion is observing the launch of a space shuttle from the command center. When she first sees the shuttle, the angle of elevation to it is 16 ° . Later, the angle of elevation is 74 ° . If the command center is 1 mi from the launch pad, how far did the shuttle travel while Marion was watching? Round to the nearest tenth of a mile.

74˚

16˚

1 mi

96

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