SOLUTION: A tall building casts a shadow of 20ft at the same time a man 6'2" casts a 3 ft shadow. What is the height of the building.

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Question 1092316: A tall building casts a shadow of 20ft at the same time a man 6'2" casts a 3 ft shadow. What is the height of the building.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll convert everything to inches
+20%2A12+=+240+ in
6'2" = +6%2A12+%2B+2+=+74+ in
+3%2A12+=+36+ in
Let +x+ = the height of the building in inches
+x+%2F+240+=+74%2F36+
+x%2F240+=+37%2F18+
Multiply both sides by +120%2A18+
+9x+=+120%2A37+
+9x+=+4440+
+x+=+493.333+ in
In feet this is:
+493.333%2F12+=+41.111+ ft
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Check my math