Please help me!

A plane intersects a double-napped cone so that it makes an angle of 41o with the central axis. The conic form is an ellipse. The vertex angle of the cone must be less than . . .

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- Oct 6th 2008, 04:29 PMalexanderl33Please Help Me with a CONICS question!
Please help me!

A plane intersects a double-napped cone so that it makes an angle of 41o with the central axis. The conic form is an ellipse. The vertex angle of the cone must be less than . . . - Oct 6th 2008, 06:28 PMSoroban
Hello, alexanderl33!;198760]

Quote:

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°.