A carpenter is building a stairway. The depth of each stair is 10 inches. The height of each riser is 8 inches. WHat is the steepness (slope) of the stairway? Please show work.
slope=deltaheight/deltadepth=10/8
To find the steepness or slope of the stairway, we need to determine the ratio between the rise (height) and the run (depth) of each step.
The rise of each step is given as 8 inches, while the run (depth) of each step is given as 10 inches.
The steepness or slope of the stairway can be calculated using the formula: steepness = rise / run.
In this case, the steepness (slope) can be found as follows:
Steepness = 8 inches / 10 inches
Simplifying the above expression, we get:
Steepness = 4/5
Therefore, the steepness (slope) of the stairway is 4/5.