A business is building a handicap accessible ramp at the enterence of the building. They want the slope to be a 1:10 ratio. In 1 - 2 sentences, explain how to find the angle of elevation of the ramp. What is the angle of elevation to the neares tenth of a degree?
To find the angle of elevation of the ramp, you would use the arctangent function with the ratio of rise over run (1:10). Using arctan(1/10) ≈ 5.7 degrees, the angle of elevation to the nearest tenth of a degree is approximately 5.7 degrees.
To find the angle of elevation, we need to use the arctangent function, which is the inverse of the tangent function. The formula for the angle of elevation is given by:
Angle = arctan(rise / run)
Given that the slope ratio is 1:10, the rise is 1 and the run is 10. Therefore, the angle of elevation is:
Angle = arctan(1 / 10)
Angle = arctan(0.1)
Using a calculator, we find that arctan(0.1) ≈ 5.7 degrees.
Therefore, the angle of elevation of the ramp to the nearest tenth of a degree is approximately 5.7 degrees.