An architect is designing a staircase for a house with a difference of 10 feet between floors. The staircase has 18 steps and a total run of 14 feet. What is the ratio (total rise/total run) of the staircase?
Design a staircase with a total rise of 14 feet, a step rise between 6 and 8 inches, and a sum of step rise and step run between 17 and 18 inches. All steps should have the same rise and the same run. Your answer should include
the number of steps
the height of each step
the run of each step
the total run
the ratio (step rise/step run)
the ratio (total rise/total run) for the staircase.
There are many different solutions to this problem. Remember that the total of the step rise and the step run must be between 17 and 18 inches. Close Tip
Video Segment In this video segment, taken from the "real world" example at the end of the Session 5 video, master carpenter Norm Abram describes the importance of slope in construction. Watch this segment after completing Part B.
In what other professions is slope used on a regular basis?
You can find this segment on the session video, approximately 21 minutes and 8 seconds after the Annenberg Media logo.
Problems B10-B13 taken from IMPACT Mathematics Course 3, developed by Education Development Center, Inc. (New York: Glencoe/McGraw-Hill, 2000), p. 41. www.glencoe.com/sec/math