Vectors - Angle Between a Line and a Plane
Vectors - Angle Between a Line and a Plane
The diagram shows a pyramid with horizontal rectangular base \(ABCD\), where \(AB=8\) cm, \(BC=6\) cm. The vertex \(V\) of the pyramid is vertically above the centre of the base and the length of \(VA\) is \(9\) cm. The points \(E\), \(F\) are the mid-points of \(VA\), \(VD\) respectively. The point \(N\) is on \(VB\) such that \(VN:NB=2:1\).
Giving each answer correct to \(3\) significant, figures, find
- the angle between plane \(EFCB\) and the base
- the angle which \(CN\) makes with the base.
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Answer:(a) \(31.9^\circ\) (b) \(25.7^\circ\)
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