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8 January, 11:56

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)
  1. 8 January, 12:02
    0
    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)
  2. 8 January, 12:43
    0
    Using the formula for m=slope=ystep/xstep the slope of your staircase is 8/12 = 2/3 and hence 66.6% slope
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