A power line is connecting the top of a building to the ground 260 meters away from the base of the building. At what angle is the wire connected at the building (angle of depression) if the wire is 340 meters long?

A power line is connecting the top of a building to the ground 260 meters away from the base of the building. At what angle is the wire connected at the building (angle of depression) if the wire is 340 meters long?

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

Draw a picture for each scenario and then solve the problems
1.
A power line is connecting the top of a building to the ground 260 meters away from the base
of the building. At what angle is the wire connected at the building (angle of depression) if the
wire is 340 meters long?

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