A perpendicular and an inclined line are drawn from point M to the plane. Find the length of the oblique
| June 23, 2021 | education
A perpendicular and an inclined line are drawn from point M to the plane. Find the length of the oblique if it forms an angle of 30 ‘(degrees) with the plane, and the distance from point M to this plane is 20cm.
The segment AO is the projection of the inclined AM on the plane α.
By condition, the segment OM is perpendicular to the plane α, then it is perpendicular to the projection of AO, and the angle OAM is the angle between the inclined plane and the plane.
In a right-angled triangle AOM, the leg OM lies opposite the angle of 300, then its length is equal to half the length of the hypotenuse AM.
OM = AM / 2.
AM = OM * 2 = 20 * 2 = 40 cm.
Answer: The length of the slope is 40 cm.
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