Question

check your answer the given condition for the plane to touch cone is that the normal distance of the centre from the plane.

Answer 1

Answer on Question #52827 – Math – Geometry

check your answer the given condition for the plane to touch cone is that the normal distance of the centre from the plane.

Solution

From triangle OSM $\Delta_{OSM}$ : angles $\angle OSM = \vartheta / 2$ , $\angle SOM = \pi / 2$ . From triangle OPM $\Delta_{OPM}$ : angle $\angle OPM = \pi / 2$ , then angle $\angle POM = \vartheta / 2$

So $L = |OP| = |OM|\cos (\angle POM) = r\cos (\vartheta /2)$

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