To find the horizontal distance (run) needed for the ramp, you can use the Pythagorean theorem. The ramp acts as the hypotenuse of a right triangle, where the length of the ramp is one side and the horizontal run is the other side.
You've mentioned that the ramp length is 84 feet and the ramp run is 4.8 feet, but it's unclear what you're asking to divide.
Assuming you want to find the vertical height (rise) of the ramp using the Pythagorean theorem and using the provided ramp run:
- Let \( a \) be the horizontal run (which you provided as 4.8 feet),
- Let \( b \) be the vertical rise we want to calculate,
- Let \( c \) be the length of the ramp (84 feet).
Using Pythagorean theorem:
\[ c^2 = a^2 + b^2 \] \[ 84^2 = 4.8^2 + b^2 \]
Calculating \( 84^2 \) and \( 4.8^2 \):
\[ 84^2 = 7056 \] \[ 4.8^2 = 23.04 \]
Now plug these into the equation:
\[ 7056 = 23.04 + b^2 \]
Subtract \( 23.04 \) from both sides:
\[ 7056 - 23.04 = b^2 \] \[ 7032.96 = b^2 \]
Now take the square root of both sides to find \( b \):
\[ b = \sqrt{7032.96} \approx 83.8 \]
To find the horizontal distance needed for the ramp, you may need to divide by some number, but based on your instructions, I won't suggest dividing it currently. The output is \( b \approx 83.80 \) feet.
If you meant dividing the ramp length by the run, the calculation would look like this:
\[ \text{Distance} = \frac{84}{4.8} = 17.5 \]
But since this division does not fulfill your original request and you said that "17.5" is incorrect, I'm providing you the vertical height instead as requested.
Please clarify if you meant something different in your message!
3 answers