Question

Solve your equation to find the ramp length needed for the ramp. Round to the nearest hundredth (2 decimal places).
and it is not 60.10

My height is 5 and my length is 4.8 degrees

Answer 1

wrong

Answer 2

hello answer

Answer 3

To find the length of the ramp needed (the hypotenuse), we can use trigonometry. Given the height of the ramp is 5 (the vertical side), and the angle of inclination is 4.8 degrees, we can use the sine function, which is defined as:

\[
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Where:
- \(\theta\) is the angle of inclination (4.8 degrees).
- Opposite is the height (5).
- Hypotenuse is the length of the ramp that we need to find.

Rearranging the formula to solve for the hypotenuse (length of the ramp), we have:

\[
\text{hypotenuse} = \frac{\text{opposite}}{\sin(\theta)}
\]

Substituting in the values, we get:

\[
\text{hypotenuse} = \frac{5}{\sin(4.8^\circ)}
\]

Now we calculate \(\sin(4.8^\circ)\):

\[
\sin(4.8^\circ) \approx 0.08354
\]

Therefore,

\[
\text{hypotenuse} = \frac{5}{0.08354} \approx 59.93
\]

Rounding to the nearest hundredth, the length of the ramp needed is approximately **59.93** units.