Andy is standing directly across a river that runs parallel to the base of a cliff. from his spot, he measures the angle of elevation to a red marker at the top of the cliff (along a line that is perpendicular to the cliff face) to be 42 degrees. He then walks 100 meters downstream and looks back at the same marker. He measures the angle between the line he walked and the line formed between his new position and a point at the base of the cliff directly below the red marker to be 22 degrees. Draw the diagram and calculate the height of the cliff.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...
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Andy is standing directly across a river that runs parallel to the base of a cliff. from his spot, he measures the angle of elevation to a red marker at the top of the cliff (along a line that is perpendicular to the cliff face) to be 42 degrees. He then walks 100 meters downstream and looks back at the same marker. He measures the angle between the line he walked and the line formed between his new position and a point at the base of the cliff directly below the red marker to be 22 degrees. Draw the diagram and calculate the height of the cliff.

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