SOLUTION: Find the height of the building if it casts a 35 foot shadow along the ground while a 12 inch ruler casts a 4 inch shadow

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Find the height of the building if it casts a 35 foot shadow along the ground while a 12 inch ruler casts a 4 inch shadow      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1076885: Find the height of the building if it casts a 35 foot shadow along the ground while a 12 inch ruler casts a 4 inch shadow
Found 2 solutions by FrankM, qux:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
The shadow (of ruler) is 1/3 of its height.
If 35 ft is 1/3 of the building hight, the building is 105ft tall.

Answer by qux(1) About Me  (Show Source):
You can put this solution on YOUR website!
Lets consider the triangle legs as X and Y
For bigger triangle
x1 = 35
y1 = ?
For smaller triangle
x2 = 4
y2 = 12
By using similar solids:
[(X1)/(Y1)] = [(X2)/(Y2)]
[(35)/(Y1)] = [(4)/(12)]
Simplify,
Y1 = 105 ft