Answer: A
Step-by-step explanation: Because you multiple 5m by 1/12?
If the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
i.e. Slope [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]
We have,
The ramp has a slope of [tex]\frac{1}{12}[/tex],
Horizontal length of [tex]5m[/tex]
Height of ramp [tex]=x[/tex]
So,
Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]
[tex]\frac{H}{5} =\frac{1}{12}[/tex]
[tex]H=\frac{5}{12}[/tex]
[tex]H=0.4 \ m[/tex]
So, the Height of the ramp is [tex]0.4 \ m[/tex] .
Hence, we can say that if the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
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