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Distance from a point to a plane

Statement. Find the distance from point P(3, 5, 7) to the horizontal plane z = 2.

Step-by-step solution

1. The distance from a point to a horizontal plane is the difference in height: nothing needs to be constructed.
2. If the plane were not projecting, you would draw the perpendicular through P, find its intersection with the plane and measure the segment in true length.

Result

d = 5 units.

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