A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?

If you picture it, it will be a right angled triangle. This means you can use the Pythagorean theorem.

The hypotenuse is 13ft and one side is 5ft

So

13ft^2 - 5ft^2 = 144

Square root 144 to get 12

Therefore the distance is 12ft

Hope this helps! Any questions let me know :)