Question

Solve your equation to find the ramp length needed for the ramp. Round to the nearest hundredth (2 decimal places).

My height is 5ft and length is 4.8 degrees

Answer 1

round it to the nearest hunderths

Answer 2

To find the required length of a ramp based on a height and an angle, you can use trigonometry. Specifically, you can use the sine function, which relates the angle of the ramp to the height and the length of the ramp.

Given:
- Height (opposite side) = 5 ft
- Angle (θ) = 4.8 degrees

The sine function is defined as:

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

In this case, the hypotenuse corresponds to the ramp length (L). Rearranging the formula to find the hypotenuse gives us:

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

Substituting the values, we get:

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

Now, you can calculate \(\sin(4.8^\circ)\) using a calculator:

\[
\sin(4.8^\circ) \approx 0.0832
\]

Now substituting this value back in:

\[
L = \frac{5}{0.0832} \approx 60.1
\]

Therefore, the length of the ramp needed, rounded to the nearest hundredth, is:

\[
\boxed{60.10 \text{ ft}}
\]