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.
cone projection parallel to cone's axis
If x was 90 degrees, the projection would cover the infinite plane in all directions.
cone projection perpendicular to cone's axis
In fact, if x is anything greater than the cone's slope(45 degrees), the projection will completely cover the plane.
cone projection at roughly 80 degrees between projected plane and cone's axis
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.
cone projection with 45 degrees
If x is between 0 and 45, the projection will be 2 converging lines at a point representing the vertex of the cone.
cone projection around 20 degrees
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?
illustration of projected tangent lines from the cone and angle in question
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?