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?

Question

20 feet

24 feet

29 feet

51 feet

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Answer 1

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.