Question

A skateboard ramp has a height of 3 feet and a horizontal of 7 feet. What is the angle of 0 of the ramp?

Answer 1

The angle of the ramp is approximately 22.62 degrees.

Step-by-step explanation:

To find the angle of the ramp, we can use trigonometry. The tangent of an angle is equal to the height of the ramp divided by the horizontal distance. In this case, the height is 3 feet and the horizontal distance is 7 feet. So, the tangent of the angle, or the slope of the ramp, can be calculated as:

tan(θ) = 3/7

Using a calculator, we can find that the angle θ is approximately 22.62 degrees.

Answer 2

When we have a right triangle with sides and angles, we use basic trigononemetry. Since we know the vertical leg (height of ramp) and horizontal leg (base length of ramp), we use the inverse tangent function to find the angle.


θ = tan-1(height of ramp / base of ramp) θ = tan-1(2.5 / 6) θ = tan-1(5 / 12)