If an inclined plane has a mechanical advantage of 4 and the length of the slope is 24 m, what is the height of the table?

To find the height of the inclined plane, we can use the concept of mechanical advantage (MA) which is defined as the ratio of the length of the slope to the height. In this case, the inclined plane has a mechanical advantage of 4, meaning that for every unit of height, the length of the slope is 4 times that unit.

Given the length of the slope is 24 meters, we can set up the following relationship using the mechanical advantage:

MA = Length of slope / Height

Substituting the known values:

4 = 24 m / Height

To find the height, we can rearrange the equation:

Height = Length of slope / MA Height = 24 m / 4 Height = 6 m

Thus, the height of the table is 6 meters, which corresponds to the correct answer. This calculation illustrates how mechanical advantage can help determine the height of an inclined plane based on its slope length.