a ramp is 1m above ground level and starts 3m from a building. how long is the ramp?

This is time for the Pythagorean Theorem.

a^2 + b^2 = c^2

1^2 + 3^2 = c^2

1 + 9 = c^2

10 = c^2

3.1623 = c

To calculate the length of the ramp, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

In this case, the height of the ramp is the leg of the triangle, and the distance from the building to the start of the ramp is the other leg. The ramp itself represents the hypotenuse.

Let's denote the height of the ramp as 'h' and the distance from the building to the start of the ramp as 'd'. According to the given information:

Height of the ramp (h) = 1 meter
Distance from the building (d) = 3 meters

Using the Pythagorean theorem, we get the following equation:

h^2 + d^2 = length of the ramp^2

Plugging in the values:

1^2 + 3^2 = length of the ramp^2

1 + 9 = length of the ramp^2

10 = length of the ramp^2

To find the length of the ramp, we need to take the square root of both sides:

√10 = length of the ramp

Therefore, the length of the ramp is approximately 3.16 meters, rounded to two decimal places.