An aeroplane can fly at \(\quantity{300}{km/h}\) in still air. If a steady \(\quantity{60}{km/h}\) wind is blowing from the direction \(030^\circ\), determine

  1. the direction in which the aeroplane must head in order that it actually flies due North,
  2. the aeroplane’s resultant velocity.

What diagram could we draw to represent this problem?