A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He measures the distance from the tree trunk to the house and finds 36 m. At the house, he measures an angle of elevation from the ground to the top of the tree and finds 51 degrees. How tall is the tree? Is it possible that the tree could hit the house, if it falls?

A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He measures the distance from the tree trunk to the house and finds 36 m. At the house, he measures an angle of elevation from the ground to the top of the tree and finds 51 degrees. How tall is the tree? Is it possible that the tree could hit the house, if it falls?

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

A tree in Daniel's yard died and he's worried it might fall and hit the house if left
alone. He measures the distance from the tree trunk to the house and finds 36 m.
At the house, he measures an angle of elevation from the ground to the top of the
tree and finds 51 degrees. How tall is the tree? Is it possible that the tree could hit
the house, if it falls?

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