To find the angle of elevation of the ramp, we need to determine the tangent of the angle.
Tangent (tan) is defined as the ratio of the opposite side to the adjacent side of a right triangle.
In this case, the opposite side represents the vertical change or rise of the ramp, and the adjacent side represents the horizontal change or length of the ramp.
Given that the slope of the ramp is 3:16, the ratio of the rise to the length is 3/16.
Let's assume the rise of the ramp is 3x, and the length of the ramp is 16x.
Now we can write the equation:
tan(angle) = rise/length
tan(angle) = 3x / 16x
tan(angle) = 3/16
Now we need to find the angle whose tangent is 3/16.
Using the inverse tangent function (tan^(-1)), we can find the angle:
angle = tan^(-1)(3/16)
Using a calculator, the angle is approximately 10.6 degrees.
Therefore, the angle of elevation of the ramp is approximately 10.6 degrees.
The slope of a ramp leading into a grocery store is 3:16. What is the angle of elevation of the ramp?
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