An alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a trees shadow is 32 feet long. What is the height of the tree?
We can set up a proportion to solve this problem. Let's call the height of the tree "x". According to the given information, we have:
Alien's height / Alien's shadow = Tree's height / Tree's shadow.
Substituting the given values, we get:
5 feet / 8 feet = x / 32 feet.
To solve for x, we cross-multiply:
5 feet * 32 feet = 8 feet * x.
160 feet = 8 feet * x.
Dividing both sides of the equation by 8 feet, we find:
160 feet / 8 feet = x.
20 feet = x.
Therefore, the height of the tree is 20 feet.