if a wheel chair ramp is 6.10m long with a rise of 0.45m what should the angle of degree be
To determine the angle of degree for a wheelchair ramp, you can use trigonometry. In this case, you can use the tangent function to find the angle.
First, you need to find the length of the hypotenuse of the right triangle formed by the wheelchair ramp. The hypotenuse represents the slanted distance, which is the ramp itself. You can use the Pythagorean theorem to calculate it:
hypotenuse^2 = length^2 + rise^2
In this case, the length of the ramp is 6.10m, and the rise is 0.45m. Plugging in these values, we get:
hypotenuse^2 = 6.10^2 + 0.45^2
hypotenuse^2 = 37.21 + 0.20
hypotenuse^2 = 37.41
Now, we can find the length of the hypotenuse, which is the square root of 37.41:
hypotenuse ≈ √37.41
hypotenuse ≈ 6.119m (rounded to three decimal places)
Next, we can use the tangent function to find the angle:
tan(angle) = rise / length
tan(angle) = 0.45 / 6.10
Now, we can solve for the angle:
angle ≈ tan^(-1)(0.45 / 6.10)
angle ≈ tan^(-1)(0.0738)
angle ≈ 4.24° (rounded to two decimal places)
Therefore, the angle of degree for the wheelchair ramp is approximately 4.24°.