A 150-foot-long ramp connects a ground-level parking lot with the entrance of a building. if the entrance is 8 feet above the ground, what angle does the ramp make with the ground. draw the picture
Inverse sin (8/150) will get you the angle. Ramp is the hypotenuse, entrance height is the opposite side of the triangle.
To determine the angle the ramp makes with the ground, we can use trigonometric functions. Let's draw a diagram to visualize the situation:
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8ft| \
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Ramp (150ft)
In this diagram, the ground is horizontal, and the ramp connects the parking lot (ground) to the entrance of the building. The height of the entrance is 8 feet.
To find the angle, we can use the tangent function (tan). The tangent of an angle is equal to the opposite side divided by the adjacent side (in this case, the opposite side is 8 feet, and the adjacent side is the length of the ramp, 150 feet).
So, the equation for the tangent is:
tan(angle) = opposite/adjacent
tan(angle) = 8/150
To find the angle, we can take the inverse tangent (also known as arctan or tan^(-1)) of both sides of the equation:
angle = arctan(8/150)
Using a calculator, we compute:
angle ≈ 3.04 degrees
Therefore, the angle the ramp makes with the ground is approximately 3.04 degrees.