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a barn casts a shadow that is 12 meters long while a tree in the yard casts a shadow that is 8 meters long. how long is the tree if the barn is 20 meters long?

Respuesta :

Using proportion...

length of barn                       length of tree
--------------------------------  =  --------------------------------
length of barn's shadow       length of tree's shadow

20       x
----  =  ---
12       8

Using cross-multiplication...

20 x 8 = 12x
160 = 12x
x = 13 1/3 or 13.3333

The tree is 13 1/3 meters long.

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