A cone has a slope of 45 degrees.
The cone is projected on a plane that is inclined to the axis of the cone by x degrees. If x was 0, the projection would be 2 lines converging at 90(45 + 45) degrees to each other.
If x was 90 degrees, the projection would cover the infinite plane in all directions.
In fact, if x is anything greater than the cone's slope(45 degrees), the projection will completely cover the plane.
If x was 45 degrees, the projection would be a straight line because one side of the cone would be perfectly perpendicular to the projected plane.
If x is between 0 and 45, the projection will be 2 converging lines at a point representing the vertex of the cone.
Question 1: If the cone is projected at an angle of x between 0 and 45 degrees, what expression represents the angle between these converging lines?
Question 2: If the cone's slope was represented by y degrees instead of being a constant 45, what expression would represent the angle between the converging lines for x between 0 and (90 - y) degrees?