A staircase is made up of individual steps that should be consistent in height and width. The height of each step is called the rise, and the width of the step is called the run.
a. The staircase below is made up of four steps with a rise of 6.5' and a run of 8.25'. Find the height (H) and depth (D) of the entire staircase.

H=?inches
D=?inches


b. Builders have to follow guidelines on the rise and run of stairs when building a staircase to meet a code. One acceptable ratio is a rise of 7 -
3 / 4 inches for a run of 9-3/4 inches. If a builder is using this ratio to build a staircase that is 15 feet high, how deep will the staircase need to be (d in the drawing below)? Note that the drawing does not show the correct number of steps. Round to the nearest tenth.