The angle a ramp with a slope of 3/11 makes with the sidewalk is approximately 15 degrees, found by calculating the inverse tangent of the slope.
To find the angle θ that a ramp makes with the sidewalk, we need to calculate the inverse tangent (tan⁻¹) of the slope.
The slope of the ramp is given as 3/11. Therefore, the angle θ can be found using the following calculation:
Angle θ = tan⁻¹(3/11)
Using a calculator set to degree mode, we find:
Angle θ ≈ tan⁻¹(0.2727) ≈ 15°
This is the angle that the ramp forms with the sidewalk to the nearest degree.