A rhombus with 2 angles of 60 degrees and 2 angles of 120 degrees has side length of 100. It is positioned in the 3d plane such that its shorter diagonal is parallel to the base of the plane. A light source at infinity forms a shadow with the rhombus. The shadow created is a square. Find the angle formed by the line formed by the topmost vertex of the rhombus and the light source with the horizontal plane.
