Problema Solution

If a picture of a tre 4.25in.tall & the scale is 1 in =30'. If the same tree is on a different scale of 1" =15' how tall is the 2nd?

Answer provided by our tutors

let 'h' is the real height of the tree


the tree is 4.25 inches tall and the scale is 1 in = 30 ft = 30*12 = 360 in


4.25 : h = 1 : 360


h = 4.25*360


h = 1530 in


h = 127.5 ft


the same tree is on a different scale of 1" =15' that is 1 in = 15ft = 15*12 = 180 in


let the d = the height of the tree according to the 2nd scale


d : h = 1 : 180


d : 1530 = 1 : 180


by solving we find


d = 8.5 in


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the tree is 8.5 in tall according to the 2nd scale.