math
posted by anonymus
If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

jerome
x=shadow length
12/x=5/12
5/12=0.417
12/x=0.417
12/0.416=28.8ft
check:12/28.8=0.417
28.8ft 
Steve
the ratio of shadow/height is constant, so
12/5 = x/17.5
or, the height and shadow scale the same way, so since 17.5 is 3.5 times 5, the shadow will be 3.5 times 12 feet long. 
jerome
got me numbers mixed up, sorry

jerome
replace 12 with 17.5
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