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) About Me  (Show Source):
You can put this solution on YOUR website!
+8+ in = +8%2F12+=+2%2F3+ feet
Let +h+ = height of building in feet
Use similar triangles:
+h+%2F+18+=+5.667+%2F+4+
+4h+=+5.667%2A18+
+4h+=+102+
+h+=+25.5+ ft
---------------------
+.5+ ft = +.5%2A12+=+6+ in
The height of the building is 25 ft 6 in

Answer by MathTherapy(10556) About Me  (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: 

matrix%281%2C3%2C+4H%2C+%22=%22%2C+18+%2A+%2817%2F3%29%29 ------ Cross-multiplying

4H = 6(17)

Height of building, or