To find the angle of elevation of the ramp, we can use the slope ratio of 3:16.
The slope ratio represents the change in height (rise) compared to the change in distance (run). In this case, for every 3 units of height, there are 16 units of distance.
The tangent function can be used to find the angle of elevation. The tangent of an angle is defined as the opposite over the adjacent.
In this case, the opposite side is the height (rise) and the adjacent side is the distance (run).
Let's assume the height of the ramp is 3x and the distance is 16x (where x is any constant).
The tangent of the angle can be calculated as:
tan(angle) = rise / run = 3x / 16x = 3/16
Now, we can find the angle by taking the arctan of both sides:
angle = arctan(3/16)
Using a calculator, we find that angle ≈ 10.6 degrees.
Therefore, the angle of elevation of the ramp is approximately 10.6 degrees.
The slope leading into a grocery store is 3:16 what is the angle of the elevation of the ramp?
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