Agate is 3 feet tall and casts a shadow 5 feet long at the same time a nearby building cast a shadow 45 feet long what is the height of the building

The height of building is 27 feet

Solution:

Given that,

Height of gate is 3 feet

The gate casts shadow is 5 feet long

Building cast shadow is 45 feet long

Height of building = ?

Let the height of building be "n"

3 feet tall ⇒ 5 feet long shadow

"n" feet tall ⇒ 45 feet long shadow

By cross multiplication we get,

Thus height of building is 27 feet

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step-by-step explanation: