Question

The stage used for graduation is 4 feet tall, find the other dimensions (two sides) of the ramp so that it has the maximum angle of elevation specified by the ADA.

Answer 1

Let's draw a diagram of the situation:

The value of thetramp (Slope) is given by:

`slope=(rise)/(run)`

Since the slope has to be:

`slope=1:12=(1)/(12)`

And:

`rise=4`
`\begin{gathered} (1)/(12)=(4)/(run) \\ run=48 \end{gathered}`

So, the other dimension is 48ft. And the angle of elevation is given by:

`\begin{gathered} \theta=tan^(-1)((4)/(48)) \\ \theta\approx4.76^(\circ) \end{gathered}`