A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 28°. How high (in feet) is the mountain?

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 28°. How high (in feet) is the mountain?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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A survey team is trying to estimate the height of a mountain above a level plain. From one point on
the plain, they observe that the angle of elevation to the top of the mountain is 24°. From a point
1000 feet closer to the mountain along the plain, they find that the angle of elevation is 28°.
How high (in feet) is the mountain?
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