A plane approaching an airport tower

A plane approaching an airport tower

Secondary 2
TGM Original Questions

A plane \(P\) flies at constant height towards a vertical control tower \(CT\) of height 120 m. The angle of depression from \(P\) to the tower top \(T\) is \(32^\circ\), while the angle of elevation of \(P\) from the base \(C\) is \(48^\circ\). Find

  1. the horizontal distance to the tower,
  2. the plane’s height above ground, to 2 decimal places.

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Answer:(a) \(247.04\) m; (b) \(274.37\) m.

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