The slope of a ramp leading into a grocery store is 2:11. What is the angle of elevation of the ramp?

11.3°

63.8°

10.3°

79.7°

1 answer

To find the angle of elevation of the ramp, we can use the tangent function, which is defined as the opposite side divided by the adjacent side in a right triangle.

Let x be the angle of elevation.

Hence, tan(x) = opposite/adjacent = 2/11.

To find x, we take the arctan of both sides:

x = arctan(2/11) ≈ 10.3°.

Therefore, the angle of elevation of the ramp is approximately 10.3°.