Suppose a line intersects a plane at one point. Define what is meant by the "angle of intersection of the line

Question

Suppose a line intersects a plane at one point. Define what is meant by the "angle of intersection of the line and the plane". Describe a method you can use to determine the angle of intersection of a line and a plane

Answer 1

Well, imagine that the ground you are standing on is the plane and a line penetrates it at one point: when it goes through the plane it must come out at some particular angle.

Answer 2

Say the line hits the plane at A.
Pick another point B on the line.
Drop a perpendicular from B to the plane, and name the point C where this perpendicular hits the plane.

Then the angle BAC is defined to be the angle between the line and the plane.

Answer 3

You can do it yourself. Just take a pencil and put the point part so it touches a table at a slant. Now look straight above the pencil and visualize the projection of the pencil on the table as a line. The angle of intersection is the angle between the pencil and the projected line on the table.