Answered: height of the building

Math

Trigonometry

height of the building

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.3: Right Triangle Trigonometry

Problem 8ECP: The angle of elevation to the top of a flagpole at a distance of 19 feet from its base is 64.6. How...

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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 of the top of the building at a distance of 100 m from its foot on a horizontal plane is found to be 40 degrees. Find the height of the building.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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