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# The slope of a set of stairs is 7/10. If the stairs must

### Customer Question

The slope of a set of stairs is 7/10. If the stairs must rise 2.0 m, determine the horizontal length of the stairs, to the nearest metre.
Submitted: 1 year ago.
Category: Math Homework
Expert:  Ryan replied 1 year ago.

Hi,

Thank you for using the site. I'll be happy to help you with this problem.

The given slope of the stairs is rise / run = 7/10. Since the slope is given as a fraction, you can set up a simple proportion by equating the given slope with the desired rise over the unknown run (horizontal length).

7/10 = 2/x

where "x" is the horizontal length of the stairs.

Multiplying both sides by the common denominator 10x gives:

7x = 10(2)

7x = 20

Dividing both sides by 7 then gives:

x = 20/7 = 2.86 meters.

Rounding to the nearest meter gives a horizontal length of 3 meters.

Thanks,

Ryan