An access ramp enters a building 3 m above ground level and starts 11 m from the building. How long is the ramp?

The given problem can be exemplified in the following diagram:
We are asked to determine the length "L" of the ramp. To do that we will use the Pythagorean theorem:
[tex]L^2=(3m)^2+(11m)^2[/tex]Solving the operations:
[tex]L^2=9m^2+121m^2[/tex]Now, we add the values:
[tex]L^2=130m^2[/tex]Now, we take the square root to both sides:
[tex]L=\sqrt{130m^2}[/tex]Now, we solve the operations:
[tex]L=11.4m[/tex]Therefore, the length of the ramp is 11.4 meters.