A four-foot tall boy is standing next to a flagpole. The person is casting a shadow 2 feet in length, while the flagpole is casting a shadow 5 feet in length. How tall is the flagpole?
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1 point
30 feet
25 feet
20 feet
10 feet
To solve this problem, we can use similar triangles.
Let's label the height of the flagpole as 'x'.
According to the given information, we have the following ratio:
Height of the boy / Length of boy's shadow = Height of the flagpole / Length of flagpole's shadow
4 feet / 2 feet = x / 5 feet
Using cross multiplication, we get:
4 feet * 5 feet = 2 feet * x
20 feet = 2 feet * x
Dividing both sides by 2 feet, we have:
x = 20 feet
Therefore, the flagpole is 20 feet tall.
The correct answer is 20 feet.