To find the horizontal distance needed for the ramp, we can use the Pythagorean theorem. In this case, the ramp length is the hypotenuse of a right triangle, and the ramp run is the horizontal distance.
Let:
- \( L \) = ramp length (84 ft)
- \( R \) = ramp run (4.8 ft)
- \( H \) = vertical height (which we will find using the Pythagorean theorem)
According to the Pythagorean theorem:
\[ L^2 = R^2 + H^2 \]
We need to solve for \( H \):
\[ H^2 = L^2 - R^2 \]
Substituting the values we have:
\[ H^2 = 84^2 - 4.8^2 \] \[ H^2 = 7056 - 23.04 \] \[ H^2 = 7032.96 \] \[ H = \sqrt{7032.96} \approx 83.8 \text{ ft} \]
Now, we have the height, and we still need the horizontal distance, which is already given as the ramp run:
\[ R = 4.8 \text{ ft} \]
It seems like you might be looking for the total horizontal distance that corresponds to the ramp length and the run.
To find the total horizontal distance for the ramp, considering the values you provided, the total horizontal distance does not seem to relate directly to the lengths given.
Therefore, if the ramp run means the horizontal (projected) component paired with the full length when creating a triangle out of these measures don't seem to correlate. The values provided heavily indicate components of a right triangle configuration.
I recommend clarifying whether you are referring to ramp length as total distance or focused entirely on the run provided. If the prior establishment is true, then my interpretations suggest:
- Ramp Run = Horizontal Distance = 4.8 ft
Should you really be after derived metrics or varying configurations/outputs, please clarify, and then I can assist in generating those outcomes!
If rounding to two decimal places is required:
\[ \text{Horizontal Distance} = 4.80 \text{ ft} \]
3 answers