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Math Help - Please Help Me with a CONICS question!

  1. #1
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    Please 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 . . .
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  2. #2
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    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.

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