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?
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1 point
20 feet
24 feet
29 feet
51 feet
To solve this problem, we can set up a proportion comparing the height of the alien to the height of the tree based on their respective shadow lengths:
Alien's height / Alien's shadow length = Tree's height / Tree's shadow length
Let x represent the height of the tree. The proportion can be written as:
5 / 8 = x / 32
Cross-multiplying, we get:
8x = 5 * 32
8x = 160
Dividing both sides by 8, we find:
x = 20
Therefore, the height of the tree is 20 feet. So the correct answer is:
20 feet.