A boat, an island and a helicopter

A boat, an island and a helicopter

Secondary 2
6 marks
TGM Original Questions

Core stretch

A boat at \(A\) is 8 km from island \(C\). A helicopter \(H\) hovers 1.5 km directly above \(C\).

  1. Find \(\angle CAH\).[2]
  2. At 20:35, the boat sails at 6.4 km/h towards \(C\). Find its arrival time.[2]
  3. At point \(B\), the angle of elevation \(\angle CBH\) is \(68^\circ\). Find distance \(AB\). [2]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:(a) \(10.6^\circ\) (b)21:50 (c) \(7.39\text{ km}\)

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