Solve your equation to find the horizontal distance needed for the ramp. Round to the nearest hundredth (2 decimal places). 4.8 degrees and hight 6ft
To find the horizontal distance needed for the ramp, we can use trigonometry.
In this case, the angle of 4.8 degrees represents the angle of inclination of the ramp. The height of the ramp is given as 6ft.
We can use the formula:
tan(angle) = height / horizontal distance
Plugging in the given values:
tan(4.8°) = 6ft / horizontal distance
To solve for the horizontal distance, we can rearrange the formula:
horizontal distance = height / tan(angle)
Now, let's calculate the horizontal distance:
horizontal distance = 6ft / tan(4.8°)
Using a calculator, the tangent of 4.8 degrees is approximately 0.0859. Therefore,
horizontal distance = 6ft / 0.0859
horizontal distance ≈ 69.71ft
Rounded to 2 decimal places, the horizontal distance needed for the ramp is approximately 69.71 feet.