Jerry is building a skateboard ramp. The length of the ramp is 6 feet long and rises to a height of 2.5 feet. What is the approximate angle of elevation formed by the ramp and the ground. Round your answer to the nearest degree.
To find the angle of elevation, we can use the tangent function:
tan(angle) = opposite/adjacent
In this case, the opposite side is the height of the ramp (2.5 feet) and the adjacent side is the length of the ramp (6 feet). Plugging in these values, we get:
tan(angle) = 2.5/6
angle ≈ arctan(2.5/6)
angle ≈ arctan(0.4167)
angle ≈ 22.6 degrees
Therefore, the approximate angle of elevation formed by the ramp and the ground is 23 degrees.