The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall is the tree if the point on the ground is 91 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall is the tree if the point on the ground is 91 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

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.

Question

The angle of elevation to a nearby tree from a point on the ground is measured to be
64°. How tall is the tree if the point on the ground is 91 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:
feet
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