Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation. She then steps back 15 feet and looks at the 6th Floor at a 40° angle. If Olivia is 4 feet tall, how far away from the building was she when she first looked up?

Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation. She then steps back 15 feet and looks at the 6th Floor at a 40° angle. If Olivia is 4 feet tall, how far away from the building was she when she first looked up?

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section7.1: The Law Of Sines

Problem 52PS: Gina is standing near a building and notices that the angle of elevation to the top of the building...

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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.

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Olivia stands on the street and looks at the 6th floor of a building at
a 50° angle of elevation. She then steps back 15 feet and looks at the
6th floor at a 40° angle. If Olivia is 4 feet tall, how far away from
the building was she when she first looked up?

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