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.