Question

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

Answer 1

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:

`L^2=(3m)^2+(11m)^2`

Solving the operations:

`L^2=9m^2+121m^2`

Now, we add the values:

`L^2=130m^2`

Now, we take the square root to both sides:

`L=√(130m^2)`

Now, we solve the operations:

`L=11.4m`

Therefore, the length of the ramp is 11.4 meters.