An observer between two vertical towers

An observer between two vertical towers

Secondary 2
TGM Original Questions

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. cable length \(PC\),
  3. the angle of depression of \(A\) from \(C\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Solution:

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

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