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It is a right-angled triangle where the height is the vertical leg (a) and the depth is the horizontal leg (b).

a/b = tan of slope angle

Slope angle = arctan(a/b)

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βˆ™ 12y ago
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βˆ™ 1w ago

To measure the slope of a staircase, you can use the formula: Slope = Rise / Run. The rise is the height of the riser, and the run is the depth of the tread. Divide the height of the riser by the depth of the tread to calculate the slope of the staircase.

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Q: How would you use the height of the risers and the depth of the treads to measure the slope of a staircase?
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Related questions

How do you define a staircase?

A staircase is a series of steps consisting of horizontal treads and vertical risers that provides access between floors in a building.


If eleven riser are needed to reach upto a certain height then number of treads will be?

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I need to know what the codes are on stairs? Treads@risers an hand rails ?for what degree of slope


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They are the height it needs to be in order to make the desired number of treads connect the low and high points. That being said, Stair risers should be no more than 8" and treads should be no less than 11". Once your risers start being taller than your tread is long, you are building a ladder, not a stair. If you start at 8" for a riser and 11" as a tread, By shrinking the riser and adjusting the treads to fit you can get the steps to work out so that one consistent riser height can be achieved. One that will be in the 6-8" range. If you use risers that are less than 6", you should lengthen the treads. Example problem-- Lower floor is 6 feet lower than the higher floor. Keep in mind you always have 1 more riser than tread. 6'-0"= 72" You can make 18 each 4" risers (72"H /4"R=18 risers) and have a run of 34 feet using 24" treads. or you can make 12 each 6" risers and have a run of 11 feet using 12" treads. or you can make 9 each 8" risers and have a run of 7'-4" or 88" using 11" treads. You will always have at least one "given"-the height you need to traverse. From there it is just division and multiplication based on the 8" maximum riser and the 11" minimum tread.


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