Angle Between a Line and a Plane, Distance in a Regular Pyramid

Mathematics3D GeometryAges 16–17

A regular pyramid S.ABCD (or S.ABC) can be rotated with the mouse or a finger. The simulation constructs the projection of the lateral edge SA (or the slant height SM) onto the base, shades the angle between the line and the plane, and shows tan of that angle in terms of the height and the base edge; it also constructs the distance from S to the base and from the center O to the lateral face (SBC).