SOLUTION: A building cast a shadow 18 feet long. A woman standing near the building is 5 feet 8 inches tall and casts a shadow 4 feet long. What is the height of the building in feet and inc

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Question 1152442: A building cast a shadow 18 feet long. A woman standing near the building is 5 feet 8 inches tall and casts a shadow 4 feet long. What is the height of the building in feet and inches?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
in = feet
Let = height of building in feet
Use similar triangles:



ft
---------------------
ft = in
The height of the building is 25 ft 6 in
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

A building cast a shadow 18 feet long. A woman standing near the building is 5 feet 8 inches tall and casts a shadow 4 feet long. What is the height of the building in feet and inches?
Let height of building be H

Then we get: 

 ------ Cross-multiplying

4H = 6(17)

Height of building, or  

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