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1 vote
A flagpole casts a shadow 80 feet long at the

same time a 5-foot boy casts a shadow 4 feet
long. How tall is the flagpole?

A flagpole casts a shadow 80 feet long at the same time a 5-foot boy casts a shadow-example-1
User Hedegare
by
7.0k points

1 Answer

6 votes

Final answer:

The height of the flagpole is 100 feet.

Step-by-step explanation:

To find the height of the flagpole, we can set up a proportion using the similar triangles formed by the flagpole and the boy. Let's say the height of the flagpole is x feet. The proportion would be:

x/80 = 5/4

Cross multiplying the proportion, we get:

x = 80 * 5/4 = 100 feet

So the height of the flagpole is 100 feet.

User Omar Jarjur
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8.2k points