SOLUTION: A tree casts a shadow that is 15 feet long. At the same time, a building casts a shadow that is 21 feet long. If the building is 16 feet taller than the tree, how tall is the build

Question 1012292: A tree casts a shadow that is 15 feet long. At the same time, a building casts a shadow that is 21 feet long. If the building is 16 feet taller than the tree, how tall is the building?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let us call the height of the tree, x.
Then we can write the proportion

Now cross multiply and get
21x = 15(x+16)
21x = 15x + 240
6x = 240
x = 40 feet
The building is x + 16, or 56 feet tall.

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