Basic Geometry - Three-Dimensional Geometry

Basic Geometry - Three-Dimensional Geometry

A pyramid with a square base \(ABCD\) is as shown in the diagram below. The dimensions are \(AB=BC=CD=DA=4\) cm and \(VA=VB=VC=VD=7\) cm. \(N\) is a point at the foot of the perpendicular from \(A\) to \(VB\).

  1. Show that the length of \(VN\) is \(5.86\) cm.
  2. Find the angle between the plane \(ANC\) and the horizontal.

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Answer:(a) \(VN=5.86\) cm (b) \(23.8^\circ\)

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