A tree casts a shadow 72 feet long. At the same time, a man who is 6 feet tall casts a shadow 8 feet long. What is the height of the tree? *

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Respuesta :

Answer: 54 feet.

Step-by-step explanation:

Ratio between a tree's height and its shadow's length = x : 72ft

Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4

In order to solve this problem, we have to cross multiply the two ratios (image)

So, 4x = 216.

By solving this equation we learn that x = 54ft

So, the tree is 54 feet tall.

I am not a professional, simply using prior knowledge.

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