pre algebra
posted by melissa on .
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

Cross multiply and solve for x.
5.33/6 = 6.67/x 
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.