To find the ramp length using the formula you provided, it seems you're considering a right triangle where \(5\) ft is the height and the angle is \(4.8\) degrees.
In a right triangle, the sine of an angle is given by:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
where:
- "opposite" is the height of the triangle (5 ft),
- "hypotenuse" is the length of the ramp you want to find,
- \(\theta\) is the angle (4.8 degrees).
We can rearrange this formula to find the hypotenuse (ramp length):
\[ \text{hypotenuse} = \frac{\text{opposite}}{\sin(\theta)} \]
Substituting in the given values:
\[ \text{hypotenuse} = \frac{5}{\sin(4.8^\circ)} \]
Now, we can compute \(\sin(4.8^\circ)\):
Using a calculator or sine table:
\(\sin(4.8^\circ) \approx 0.0834\)
Now substituting this value:
\[ \text{hypotenuse} \approx \frac{5}{0.0834} \approx 60.024 \]
So the ramp length is approximately 60.02 feet.
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