A conic section is formed from a plane intersecting cones as shown. The plane is at an angle of $5\mathrm{.}0$ with respect to the central axis of the cones. The cones each have a diameter of $15m$ and a height of $10m.$ The eccentricity of the conic section is most nearly

A$.0\mathrm{.}75$

B$.0\mathrm{.}95$

C$.1\mathrm{.}2$

D$.1\mathrm{.}5$