You are in New York City and want to find the height of the Empire State Building using what you know about similarity. Describe what information you would need and how you would estimate its height.



Answer :

Final answer:

Using the similarity principle, you can estimate the height of a building by scaling up from the height of a person based on the number of stories in the building.


Explanation:

Similarity Principle: To estimate the height of the Empire State Building, we can use the similarity principle. If we know the height of a person and the number of stories in the building, we can approximate the total height.

Calculation: For example, if one story is about 2 times the height of a person, and the building has 102 stories, we can estimate the building's height by multiplying the height of a person by 102 (stories).

Example: If a person is 1.8 meters tall, the estimated height of the building would be 1.8 meters x 102 stories = 183.6 meters.


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