Question 106467
The slope is the change in the y-direction (that's vertical) over the change in the x direction (that's horizontal).
You know the vertical, that's given as 8 meters.
The horizontal (the distance from the foot of the ladder to the wall) is what you are looking for, so call that x.
The minimum slope can be written: {{{8/x = 6.3}}} so, {{{x[max] = 8/6.6}}} = 1.27 meters.
The maximum slope can be written: {{{8/x = 9.5}}} so, {{{x[min] = 8/9.5}}} = 0.84 meters.