51. There is lightning rod on the top of a building.From a location 500 feet from the base of the buil-ding, the angle of elevation to the top of the buildingis measured to be 36°. From the same location, theangle of elevation to the top of the lightning rod ismeasured to be 38°. Find the height of thelightning rod.Draw a sketch of the situation, label the known and unknown quantities. Theauthor assumes that the lightning rod is sitting at the edge of the building (whichis reflected in the solution at the end of the book. Try to find a formula that willgive the height of the antenna as a function of how far the antenna is from theedge of the roof.Hint: f(0) will give you the answer in the back of the book.

Answered: Image /qna-images/answer/0d558001-4de8-4603-a7ca-4dc8bdaf3113.jpg

There is lightning rod on the top of a building. From a location 500 feet from the base of the buil- ding, the angle of elevation to the top of the building is measured to be 36°. From the same location, the angle of elevation to the top of the lightning rod is measured to be 38°. Find the height of the lightning rod.

There is lightning rod on the top of a building. From a location 500 feet from the base of the buil- ding, the angle of elevation to the top of the building is measured to be 36°. From the same location, the angle of elevation to the top of the lightning rod is measured to be 38°. Find the height of the lightning rod.

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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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

51. There is lightning rod on the top of a building.
From a location 500 feet from the base of the buil-
ding, the angle of elevation to the top of the building
is measured to be 36°. From the same location, the
angle of elevation to the top of the lightning rod is
measured to be 38°. Find the height of the
lightning rod.
Draw a sketch of the situation, label the known and unknown quantities. The
author assumes that the lightning rod is sitting at the edge of the building (which
is reflected in the solution at the end of the book. Try to find a formula that will
give the height of the antenna as a function of how far the antenna is from the
edge of the roof.
Hint: f(0) will give you the answer in the back of the book.

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