If the slope is 6/12 and the run is 8', what is the rise?

To determine the rise when given a slope of 6/12 and a run of 8', it is essential to understand the relationship between slope, rise, and run. The slope is expressed as a ratio, where the first number (6) represents the rise and the second number (12) represents the run.

This means that for every 12 units of horizontal distance (the run), the height increases by 6 units (the rise). In this case, since the run is specified to be 8', we can set up a proportion to find the actual rise:

The equation based on the slope would be:

Rise / Run = 6 / 12.

Substituting the values we know:

Rise / 8' = 6 / 12.

To find the rise, we can cross-multiply and then solve for the rise:

Rise = (6/12) * 8'.

Simplifying the fraction 6/12 to 1/2 gives:

Rise = (1/2) * 8' = 4'.

Thus, the correct rise for a run of 8' at a slope of 6/12 is 4', which corresponds to the choice indicated in the answer.