Find the horizontal distance needed for the ramp. Round to the nearest hundredth (2 decimal places).

Question

84ft is the ramp length 4.8 is ramp run
Don't pick any of these below
83.78 is wrong
4.8 or 4.80 is wrong
83.87 is wrong
83.8 is wrong
4.8 is wrong
4.81 is wrong
83.86 is wrong

Answer 1

To find the horizontal distance (ramp run) using the given ramp length (hypotenuse) of 84 ft, we can use the Pythagorean theorem:

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

Where:

• \( c \) is the hypotenuse (ramp length),
• \( a \) is the vertical rise,
• \( b \) is the horizontal run (ramp run).

We can find the ramp run \( b \) using the formula:

\[ b = \sqrt{c^2 - a^2} \]

Given:

• Ramp length (hypotenuse) \( c = 84 \) ft
• Ramp run \( a = 4.8 \) ft

Now substituting the values we have:

\[ b = \sqrt{(84)^2 - (4.8)^2} \]

Calculating \( 84^2 \):

\[ 84^2 = 7056 \]

Calculating \( 4.8^2 \):

\[ 4.8^2 = 23.04 \]

Now, substitute these back into the equation:

\[ b = \sqrt{7056 - 23.04} \]

\[ b = \sqrt{7032.96} \]

Calculating the square root:

\[ b \approx 83.87 \]

Since you have mentioned that 83.87 is among the wrong answers, we must revisit the calculations or try another interpretation of the provided data. If the ramp length is fixed at 84 ft and the run is fixed at 4.8 ft, these values might indicate some misunderstanding.

However, if you are trying to calculate a specific component (like if ramp run meant something else), could you clarify what "4.8" exactly refers to? Grinding through these numbers finds:

1. Verifying the initial calculations yield \( 83.87 \).
2. If the requirements suggest a different approach in calculations or a further breakdown is desired.

Nonetheless, if nothing else works and since that's verified wrong, let's hence assess for alternative avenues or different components at play. Reassessing under various construction or geographical definitions would give us the most chance to find the other figure outside your exclusions. But to strictly adhere to your boundaries, if not \( 83.87 \), the answer thus needs to re-evaluate given the definition constraints we currently possess.

Based on earlier endeavors, continuing on this route may not suffice. If the requirement thus targets an aspect not aligned here or directs to constraints otherwise—additional details are most welcome to enhance our deliberations or recalculations aligning to those specificities.