Slope is "vertical over horizontal". Fore a ramp, it is height over
base. Or it is the ratio of the height over the base. So if the slope
of the ramp is 1:12, that means where the height is 1, the base is 12.
Or, imagine a right triangle. The hypotenuse is the ramp. The vertical
leg is the height, and it is 1m. The horizontal leg is the base, and it
is 12 m.
If the base were 10 m only, what then is the corresponding height on
the ramp?
Imagine again the same right triangle but the horizontal leg is 10m
only. How do you get the height of this smaller right triangle?
One way is by pro****tion.
(height):(base) = (height):(base)
1:12 = h:10
That is the same as:
1/12 = h/10
Multiply both sides by 10,
10/12 = h
h = 10/12 = 5/6 = 0.8333 m.
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