Question

A person who is 6 feet tall casts a shadow of 16 feet (shadow goes away from the flagpole).

The distance along the ground from the person (N) to the flagpole (G) is 64 feet.

The distance from the flagpole (G) to the building (D) is 400 feet.

Find the height of the flagpole (FG) and the height of the building (BD). Show all calculations.

Answer 1

This is all a matter of proportions. I am going to draw it out and we will find the heights of these things.Can you solve that for x?

Answer 2

I think so haha

Answer 3

What is x?

Answer 4

is it 24???

Answer 5

Yes it is! So here's what we have. Solve that for y and you're done!

Answer 6

so 24 is flagpole?

Answer 7

y is 150

Answer 8

That's right! See, that wasn't too bad at all was it?

Answer 9

Haha not without your help! thanks so much