A perpendicular section of a pyramid

A perpendicular section of a pyramid

Secondary 3
4 marks
TGM Original Questions

A pyramid has square horizontal base \(ABCD\) of side \(8\) cm. Its vertex \(T\) is vertically above the centre \(O\), with \(TO=7\) cm. \(M\) is the midpoint of \(AB\).

  1. Calculate the slant height \(TM\), correct to 3 significant figures.[2]
  2. Calculate the angle between \(TM\) and the base, correct to 1 decimal place.[2]

Solution:

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Answer:(a) \(8.06\text{ cm}\) (b) \(60.3^\circ\)

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