Question

\(A\) and \(B\) are two lifeboat stations on a North-facing coast, \(B\) being \(\quantity{6}{km}\) due East of \(A\). A distress call from a ship is received simultaneously at both stations. The bearing of the call from \(A\) is measured to lie between \(060^\circ\) and \(065^\circ\). The bearing of the call from \(B\) is measured to lie between \(330^\circ\) and \(335^\circ\). By means of a scale drawing on squared paper find as accurately as possible

  1. the least and greatest possible distances of the distressed ship from \(B\), and
  2. the area that may need to be searched, giving your answer in square kilometers to two significant figures.