if a staircase has 8 inches of rise for every 12 inches of thread, what is the slope of the staircase?

Question

Mo

Mathematics

7 August, 20:34

if a staircase has 8 inches of rise for every 12 inches of thread, what is the slope of the staircase?

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Answers (2)

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Hillary Hobbs · Answer 1

14.4 inches (to 1 decimal place)

the rise and tread are at right angles to each other and the slope is the hypotenuse of the right triangle formed

using Pythagoras' identity

slope = √ (8² + 12²) = √ (64 + 144) = √208 = 14.4 (to 1 dec. place)

Daniella Lam · Answer 2

Using the formula for m=slope=ystep/xstep the slope of your staircase is 8/12 = 2/3 and hence 66.6% slope