First find the normal vector of the plane, then the direction vector of the straight line, and finally find the cosine of the angle formed by the two vectors.

Then the sine of the angle between the straight line and the plane = the cosine just found.

Directly from the definition, take a point p on the straight line and make (find) projection p' to the plane. If the straight line and the plane have an intersection point S within the field of vision, then ∠PSP' is the angle between the line and the plane; If there is no S in the visual field, find another point R, and do the same projection R', and then find the included angle between PR and P'R' (it is best to find the parallel line of P'R through P or R, or the parallel line of PR through P' or R').

Angle formed by line and plane, angle formed by straight line and plane.

1, definition:

When a straight line is perpendicular to a plane, it is defined that the straight line is at right angles to the plane.

When a straight line is parallel to or in a plane, it is defined that the straight line makes an angle of 0 with the plane.

2. Range: 0 ≤ θ≤ 90 (the range of angle θ formed by oblique line and plane is 0 <; θ< 90°。 )

Baidu encyclopedia-the angle formed by a straight line and a plane