2026 CSS P1 Q17

2026 CSS P1 Q17

Secondary 4
6 marks

The diagram shows a greenhouse made of glass.

It consists of a regular pyramid, \(VEFGH\), attached to a cuboid \(ABCDEFGH\).

The dimension of the cuboid is \(12\text{ m}\times8\text{ m}\times6\text{ m}\) and \(\angle EVF=80^\circ\).

Calculate

  1. length \(VF\),[2]
  2. \(\angle GAF\),[2]
  3. the height of the greenhouse.[2]

Solution:

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Answer:(a) \(9.33\text{ m}\) (b) \(30.8^\circ\) (c) \(11.9\text{ m}\)

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