Question
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°
11.3°
63.8°
10.3°
79.7°
Answers
GPT 3.5
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°.
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°.