A pole on a cliff observed from a boat

A pole on a cliff observed from a boat

Secondary 2
TGM Original Questions

A vertical pole \(PQ\) stands on a cliff whose top is \(Q\). A boat \(B\) is 90 m horizontally from the cliff foot. The angles of elevation of \(Q\) and \(P\) are \(55^\circ\) and \(62^\circ\), respectively. Find

    1. the cliff height,
    2. the pole height
  1. the angle of depression of a boat 105 m from the cliff foot, viewed from \(Q\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

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Answer:(a)(i) \(129\) m; (ii) \(40.7\) m; (b) \(50.8^\circ\).

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