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A tree has a height of 18 feet and casts a shadow that is 6 feet in length. A boy, standing at the base of the tree’s shadow, has a height of 4 feet. How long is the shadow cast by the boy?

A tree has a height of 18 feet and casts a shadow that is 6 feet in length A boy standing at the base of the trees shadow has a height of 4 feet How long is the class=

Respuesta :

Edufirst
The two triangles of this statement are similar, so:

height of the three / its shadow = height of the boy / it shadow

18 / 6 = 4 / x => x = 4*6 / 18 = 24 / 18 = 4 / 3

Convert to mixed number: 4 / 3 = 1 and 1/3.

So, the answer is the option A. [tex]1 \frac{1}{3} feet[/tex]

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