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An Alien is 5 feet tall. His shadow is 8 feet long. At the same time of the day, a tree's shadow is 32 feet long. What is the height of the tree?
20 feet
24 feet
29 feet
51 feet
O
20 feet
24 feet
29 feet
51 feet
O
Answers
Answered by
GPT 3.5
We can set up a proportion to solve this problem. Let x be the height of the tree.
Since the alien's height is 5 feet and its shadow is 8 feet long, we have:
Alien's height/alien's shadow = tree's height/tree's shadow
5/8 = x/32
Cross-multiplying, we have:
8x = 5 * 32
8x = 160
Dividing both sides by 8, we get:
x = 20
Therefore, the height of the tree is 20 feet.
Since the alien's height is 5 feet and its shadow is 8 feet long, we have:
Alien's height/alien's shadow = tree's height/tree's shadow
5/8 = x/32
Cross-multiplying, we have:
8x = 5 * 32
8x = 160
Dividing both sides by 8, we get:
x = 20
Therefore, the height of the tree is 20 feet.
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