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°
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°.
To find the angle of elevation of the ramp, you can use the formula:
Angle of elevation = arctan(slope)
where slope is the ratio of the rise (vertical) to the run (horizontal) of the ramp.
In this case, the slope of the ramp is given as 2:11, which means for every 2 units of rise, there are 11 units of run.
Therefore, the slope is 2/11.
Using the formula, we have:
Angle of elevation = arctan(2/11) ≈ 10.3°
So, the correct answer is 10.3°.
To find the angle of elevation of the ramp, we can use the tangent function. The tangent of an angle can be found by taking the ratio of the height to the base of a right triangle formed by the angle.
In this case, the ratio of the height to the base of the triangle can be determined from the slope of the ramp, which is given as 2:11. The slope is a ratio of the vertical change (height) to the horizontal change (base).
Therefore, we can set up the equation:
tangent(angle) = height / base
tangent(angle) = 2/11
To find the angle, we take the inverse tangent (also known as arctangent) of both sides of the equation:
angle = arctan(2/11)
Using a calculator, we can find the angle to be approximately 10.3°.
Therefore, the correct answer is 10.3°.