To find the horizontal distance needed for the ramp, we can use the Pythagorean theorem. The ramp length is the hypotenuse (84 ft), and the ramp run is one leg of the triangle (4.8 ft). To find the other leg (the vertical height), we can use the formula:
\[ a^2 + b^2 = c^2 \]
Where:
- \( a \) is the horizontal run (4.8 ft),
- \( b \) is the vertical height,
- \( c \) is the hypotenuse (84 ft).
Rearranging the formula to find \( b \):
\[ b^2 = c^2 - a^2 \]
Now substituting the values:
\[ b^2 = 84^2 - 4.8^2 \] \[ b^2 = 7056 - 23.04 \] \[ b^2 = 7032.96 \]
Now we take the square root to find \( b \):
\[ b = \sqrt{7032.96} \] \[ b \approx 83.82 \]
Since you've mentioned that 83.82 is wrong, this must mean I misinterpreted what you sought. The wording you've provided suggests you may be looking for the correct ramp run rather than the height.
If you need the ramp run confirmed to a distance not provided, we could use another interpretation based on contexts or deviations. However, calculating the ramp run with these constraints can be challenging without further guidelines. Assuming the question intended a checking method for \( \text{roof} \) run ratios instead of height cut-offs, please clarify!
For both the conditions or the correct methodology needed to solve for the distance relative to unspecified terms, here is a general resolvable path. The necessity of only distances not already provided above means there must be another interpretation or method for resolving this ramp discussion effectively.
3 answers