a ladder 2.6m long leans against the side of a building the ladder touches the building at a point of 2.3m above the ground given the infirmation the slope of the ladder is
To find the slope of the ladder, we first need to find the height of the building where the ladder touches it.
Using the Pythagorean theorem, we can calculate the height of the building:
ladder^2 = height^2 + distance^2
(2.6m)^2 = height^2 + (2.3m)^2
6.76 = height^2 + 5.29
height^2 = 6.76 - 5.29
height = √1.47
height ≈ 1.21m
Now that we have the height of the building, we can find the slope of the ladder:
Slope = height / distance
Slope = 1.21m / 2.3m
Slope ≈ 0.53
Therefore, the slope of the ladder is approximately 0.53.