The wheelchair ramp is 4.4 m long. It rises 1.2 m. What is its angle of inclination to the nearest degree?
To find the angle of inclination, we can use the formula:
Angle = arctan(height/length)
Given that the length of the wheelchair ramp is 4.4 m and it rises 1.2 m, we can substitute the values into the formula to find the angle.
Angle = arctan(1.2/4.4)
Angle ≈ arctan(0.2727)
Using a calculator to find the arctan of 0.2727, we get:
Angle ≈ 15.424 degrees
Therefore, the angle of inclination of the wheelchair ramp to the nearest degree is 15 degrees.
To find the angle of inclination of the wheelchair ramp, you can use basic trigonometry. The angle of inclination corresponds to the ratio between the vertical rise and the horizontal distance.
In this case, the vertical rise of the ramp is 1.2 meters, and the horizontal distance is 4.4 meters. We want to find the angle.
To do this, we can use the tangent function (tan) because it relates the angle to the opposite and adjacent sides of a right triangle. In this case, the opposite side is the vertical rise (1.2 m) and the adjacent side is the horizontal distance (4.4 m).
So, we can use the formula:
tan(angle) = opposite/adjacent
Plugging in the values we have:
tan(angle) = 1.2 m / 4.4 m
Now, to find the actual angle, we need to take the inverse tangent (arctan) of both sides of the equation:
angle = arctan(1.2 m / 4.4 m)
Using a calculator, you can find the arctan of the ratio to get the angle:
angle ≈ 15.7 degrees
Therefore, the angle of inclination of the wheelchair ramp to the nearest degree is approximately 16 degrees.