Question

Find the horizontal distance needed for the ramp. Round to the nearest hundredth (2 decimal places).
84ft is the ramp length 4.8 is ramp run
83.78 is wrong
4.8 or 4.80 is wrong
83.87 is wrong

Answer 1

To find the horizontal distance (also known as the run) of the ramp, you can use the Pythagorean theorem. The formula is:

\[
c^2 = a^2 + b^2
\]

Where:
- \( c \) is the length of the ramp (hypotenuse),
- \( a \) is the vertical height (rise),
- \( b \) is the horizontal distance (run).

In this problem, \( c = 84 \) ft and \( b = 4.8 \) ft. To find \( a \) (the vertical height), you rearrange the formula to:

\[
a^2 = c^2 - b^2
\]

Plugging in the values:

\[
a^2 = 84^2 - 4.8^2
\]

Calculating \( 84^2 \) and \( 4.8^2 \):

\[
a^2 = 7056 - 23.04
\]
\[
a^2 = 7032.96
\]

Now, take the square root to find \( a \):

\[
a = \sqrt{7032.96} \approx 83.8
\]

Now that we have checked our calculations, it seems the initial approach was to find the run, which was already given as \( 4.8 \) ft.

If you're looking for the ramp's horizontal length needed based on the ramp's angle or are instructed to confirm the results, please clarify what parameters you need, as we consistently find that the run is \( 4.8 \) ft.

If the answer must be rounded to the nearest hundredth, and given the stated answers were incorrect, double-check the required values. The values provided appear to conflict with typical applications of a ramp setup; let me know if there's another context.