An inclined plane rires in a height of 2m. over a distance of 6m. what is the angle of the slope?
sin theta = 2/6 = 1/3
School teacher
To find the angle of the slope, you can use trigonometry. The angle you need to find is the angle between the inclined plane and the horizontal surface.
The height and the distance along the inclined plane create a right triangle. The height of 2m is the opposite side and the distance of 6m is the adjacent side.
You can use the tangent function to find the angle. The tangent of an angle is equal to the opposite side divided by the adjacent side.
So, in this case, you can use the formula:
tan(angle) = opposite/adjacent
Plugging in the values we have:
tan(angle) = 2/6
Now, to find the angle, you need to take the inverse tangent (arctan) of both sides of the equation.
angle = arctan(2/6)
Using a calculator, you can find:
angle ≈ 0.322 radians or 18.435 degrees (approximately)
So, the angle of the slope is approximately 18.435 degrees.