An observer between two vertical towers

An observer between two vertical towers

Secondary 2
6 marks
TGM Original Questions

Core stretch

An observer at \(P\) stands between vertical towers \(AB\) and \(CD\). The distance \(PB=40\) m, the angle of elevation of \(A\) is \(35^\circ\), and tower \(CD\) is twice as high as \(AB\). The angle of elevation of \(C\) from \(P\) is \(50^\circ\). Find

  1. \(AB\),[2]
  2. cable length \(PC\),[2]
  3. the angle of depression of \(A\) from \(C\). [2]

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

Solution:

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Answer:(a) \(28.0\) m (b) \(73.1\) m (c) \(17.8^\circ\).

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