A ranger, a slope and a tower

A ranger, a slope and a tower

Secondary 2
TGM Original Questions

A ranger stands at \(T\). Point \(A\) is 20 m down a slope from \(T\), at an angle of depression of \(50^\circ\). A vertical tower \(BF\) of height 8 m has its foot \(F\) level with \(T\), and the angle of elevation of \(B\) from \(T\) is \(12^\circ\). Find

  1. the height of \(B\) above \(A\),
  2. horizontal distance \(FT\),
  3. the angle of depression of \(A\) from \(B\). 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) \(23.3\) m; (b) \(37.6\) m; (c) \(24.8^\circ\).

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