A vertical pole 6 feet high casts a shadow 4 feet long. At the same time a
tree casts a shadow 64 feet long. What is the height of the tree?
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Answer:
96 feet tall
Step-by-step explanation:
The ratio of the pole's height to its shadow is 6 to 4.
The ratio of the tree's height to its shadow is x to 64.
Equate the ratios:
6/4 = x/64
Cross multiply:
4x = 6*64
4x = 384
Divide both sides by 4:
x = 384/4
x = 96
Answer:
The tree is 96 feet tall
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