A tilted rectangular box

A tilted rectangular box

Secondary 2
6 marks
TGM Original Questions

Core stretch

\(PQRS\) is a rectangular box in cross-section, with \(PS=6\) m and \(RS=15\) m. Points \(S,A,B\) lie on horizontal ground. Given \(AR=9\) m and \(\angle BAR=42^\circ\), find

  1. the height of \(R\) above the ground,[2]
  2. the angle \(\theta\) through which side \(SR\) is tilted above the ground,[2]
  3. the height of \(Q\) above the ground. [2]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:(a) \(6.02\) m (b) \(23.7^\circ\) (c) \(11.5\) m.

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