# pre algebra

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A woman who is 5feet 4 inches cast a shadow that is 6 feet tall. How long of a shadow would be cast by a man who is 6 feet 8 inches tall

• pre algebra -

Cross multiply and solve for x.

5.33/6 = 6.67/x

• pre algebra -

You use the concept of similar triangles. since 5 feet and 4 inches is awkward, you convert everything into inches.

if a 64 inch woman casts a 72 inch shadow,
if a 80 inch man casts a x inch shadow.

You find the proportion between the man and the woman: 80/64. and multiply that number with 72 to get x.

Then convert to feet.

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