An Inclined Plane Rises To A Height Of 2meter Over A Distance Of 6meter Calculate: The Angle Of The Slope
If 6 meters up along slope then sin^-1 (1/3)
If 6 meters horizontal then tan^-1 (1/3)
To calculate the angle of the slope, we can use the trigonometric function of sine.
The angle of the slope is equal to the inverse sine (also known as arcsine) of the ratio of the height to the hypotenuse, where the hypotenuse is the longest side of the triangle formed by the inclined plane.
In this case, the height is 2 meters and the distance (hypotenuse) is 6 meters.
So, the angle can be calculated as follows:
angle = arcsin(height / hypotenuse)
= arcsin(2 / 6)
To find the angle, we need to find the inverse sine (arcsine) of the ratio 2/6.
Using a calculator or a mathematical software, we can find the value of the inverse sine of 2/6, which is approximately 19.47 degrees.
Therefore, the angle of the slope is approximately 19.47 degrees.