Horizontal distance and line of sight

Horizontal distance and line of sight

Secondary 3
4 marks
TGM Original Questions

The top \(T\) of a vertical cliff is \(45\) m above a level sea surface. A boat at \(P\) is seen from \(T\) at an angle of depression of \(28^\circ\). Point \(B\) is vertically below \(T\) on the sea surface.

  1. Calculate the horizontal distance \(PB\).[2]
  2. Calculate the line-of-sight distance \(PT\).[2]

Give both answers correct to 3 significant figures.

Solution:

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Answer:(a) \(84.6\text{ m}\) (b) \(95.9\text{ m}\)

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