SOLUTION: Julio Mendez is a carpenter. He is building a staircase between the first and second floors of a house, a height of 9 feet. The tread, or depth of each step, must be 10 inches. The

Question 64984This question is from textbook Glencoe Algebra 1
: Julio Mendez is a carpenter. He is building a staircase between the first and second floors of a house, a height of 9 feet. The tread, or depth of each step, must be 10 inches. The slope of the staircase cannot exceed 3/4.
What is the measure of the riser, or height of each step?
Thanks sooo much! This question is from textbook Glencoe Algebra 1

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
For a slope of 3/4 the stair can rise 3 units for every 4 units of width.
In the case of a 10 inch wide stair then it can only rise a maximum of 7.5 inches to the next step.
If you have 9 feet to go up then that is 9 x 12 = 108 inches.
Dividing 108 by 7.5 gives 14.4.
A greater number of steps will reduce the rise so use 15 steps.
108/15 = 7.2 so use a rise of 7.2 inches.
Note that 7.5 is the maximum rise so any whole number of steps greater than 14.4 could be used and still meet the conditions.
RELATED QUESTIONS
Julio Mendez is a carpenter. He is building a staircase between the first and second... (answered by checkley71)

Julio Mendez is a carpenter. He is building a staircase between the first and second... (answered by cristiana)

Julio Mendez is a carpenter. He is building a staircase between the first and second... (answered by checkley71)

Matthias and Klara live in a high-rise building. Klara lives 12 floors above Matthias.... (answered by josgarithmetic,ikleyn)

the diameter of the circular building is 14m, which is 33m in height. the staircase has... (answered by josgarithmetic)

the height of a building, h, is equal to the number of floors, f, times 11 feet. how do i (answered by KMST)

A carpenter measures out 6 feet and 9 feet along the corner of a building. If the... (answered by rfer)

"What is the height of a building with 6 floors given by the formula h= 20.6 + 3.5n"... (answered by mathchemprofessor)

Most staircase in use today have 9 inch treads and 8.5 inch risers. What is the slope of (answered by rfadrogane)