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
83.8 is wrong

Answer 1

To find the horizontal distance (ramp run) for the ramp, we can use the relationship from trigonometry or the Pythagorean theorem. However, since you've already provided some values, let's ensure we clarify the values given:

- Ramp Length (hypotenuse): \( L = 84 \, \text{ft} \)
- Vertical Height (opposite): We'll denote this as \( h \).
- Ramp Run (adjacent): \( R = 4.8 \, \text{ft} \)

From the problem, it looks like you are using the ramp length as the hypotenuse of a right triangle, with the run as one of the adjacent sides. We want to find the other adjacent side.

Using the Pythagorean theorem:

\[
L^2 = R^2 + h^2
\]

Plugging in the values:

\[
84^2 = 4.8^2 + h^2
\]

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

\[
7056 = 23.04 + h^2
\]

Now, solving for \( h^2 \):

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

Now, taking the square root to find \( h \):

\[
h = \sqrt{7032.96} \approx 83.8 \, \text{ft}
\]

Now, you wanted to find the horizontal distance, which seems you provided 4.8 ft already. If you're looking for a different distance or clarification, please confirm what horizontal distance you need to find. But based on your inputs, \( 4.8 \, \text{ft} \) is indeed your horizontal run already given.

If this answer doesn't align with what you need, please provide additional context or details!