Lydia wants to find the height of a flag pole. she measures the height of a tree and the length of the shadow it casts. the tree is 4 ft tall, and it's shadow is 8.8 feet long. next, lydia measures the shadow cast by the flagpole, and finds it is 22 ft long what is the height of the flagpole?

If the tree is 4 feet tall and it's shadow is 8 feet tall, we can come up with this equation.
4x=8.8, x being what you need to multiply by to get the value.
Simplify the equation, and you have x=2.2.
So, if the flagpole's shadow is 22 feet long we can come up with this equation. 2.2y=22. 
simplify that equation and we end up with y=10
So therefore, the height of our flagpole is 10 feet.

I really hope this helps, have an awesome day!!

(brainliest is always appreciated)