Each step of the stairs leading from room 9 to room 107 in the Academy Building
has a vertical rise of 7 inches and a horizontal run of 12 inches. Each step of the
marble staircase leading to the Assembly Hall has a vertical rise of 5.5 inches and
a horizontal run of 13 inches.
a. Which flight of stairs do you think is steeper? Why?
b. Calculate the ratio of rise/run for each flight of stairs, and verify that the
greater ratio belongs to the flight you thought to be steeper.

Question

Each step of the stairs leading from room 9 to room 107 in the Academy Building 
has a vertical rise of 7 inches and a horizontal run of 12 inches.  Each step of the 
marble staircase leading to the Assembly Hall has a vertical rise of 5.5 inches and 
a horizontal run of 13 inches.
a. Which flight of stairs do you think is steeper?  Why?
b. Calculate the ratio of rise/run for each flight of stairs, and verify that the 
greater ratio belongs to the flight you thought to be steeper.

anonymous · Answer

Rise over run = Slope . Use rise over run to find the steepest.