A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?
2 answers:
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
The man's height in ratio to the shadow casted is 6:11. Each feet of the man is 1.83333333 feet to the shadow. Divide 33 feet of the shadow by 1.83333333 to obtain 18 feet of the height of the tree.
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