# Elliptical section of a right circular cone by HCR

Geometry Level 5

A right circular cone, with apex angle $$\alpha =60^\circ$$, is thoroughly cut with a smooth plane inclined at an acute angle $$\theta =60^\circ$$ with the geometrical axis to generate an elliptical section. (As shown in the above diagram). Find the eccentricity of elliptical section generated.

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