Hello, alexanderl33!;198760]
A plane intersects a double-napped cone and makes a 41° angle with the central axis.
The conic formed is an ellipse. The vertex angle of the cone must be less than . . .
Consider a cone with an 82° vertex angle.
The configuration looks like this. Code:
*
/|\
/ | \
/ | \
/41°|41°\ /
/ | \ /
/ | *
/ | / \
/ |41°/ \
/ | / \
/ | / \
/ |/ \
/ * \
/ / \
The intersecting plane is parallel to the slant of the cone.
The resulting conic curve would be a parabola.
For the plane to pass through the cone,
. . the vertex angle must be less than 82°.