Answer:
h = 112.5 feets
Step-by-step explanation:
The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

We know that, 
So,

Now we need to find the maximum horizontal distance possible and at what angle does this occur.
For maximum distance angle should be 45 degrees. Som,

So, 112.5 feets is the maximum possible distance.
Your answer is 450.3377
I hope my answer was of assistance!
~ Fire
Well something for example.Would be if you were a contactor,you need to find measurements of lots of things. For example that could be needing to find the sum of 2 sides.And find the sum of the 2 sides of that right trainagle can determine if the biulding has a good foundation . And thats how you can use a Pythagorean Theorem in the real world !