From point M outside the plane, an inclined plane is drawn to the plane and equal to 8 cm. distance from point M to plane

From point M outside the plane, an inclined plane is drawn to the plane and equal to 8 cm. distance from point M to plane a = 4cm. find the angle between the inclined and the plane.

An oblique drawn from point M, perpendicular to the plane α drawn from point M (its length is the distance between the point and the plane) and the segment connecting their ends form a right-angled triangle.

In this triangle, the oblique is the hypotenuse, and the perpendicular is the leg opposite to the angle x between the oblique and the plane.

By definition of the sine of an angle:

sin x = 4/8 = 0.5.

Therefore, the degree measure of the angle between the inclined and the plane α is 30 °.

Answer: 30 °.