A building across the street casts a shadow that is 24 feet long. Matt is 6 feet tall and casts a shadow that is 4 feet long. The two triangles formed are similar because the angle to the sun is the same.

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Asafrob asked Jun 1, 2023

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A building across the street casts a shadow that is 24 feet long.

Matt is 6 feet tall and casts a shadow that is 4 feet long.
The two triangles formed are similar because the angle to the sun is the same.

What is the height of the building?

Mathematics
high-school

Asafrob asked Jun 1, 2023

by Asafrob

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Answer:

The building is 36 feet tall.

Explanation:

x/6 = 24/4

4x=144

4x/4 = 144/4

x=36

Graham Smith answered Jun 7, 2023

by Graham Smith

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