Rain falls vertically at the speed of \(30~\text{m/s}.\) A woman riding a bicycle with a speed of \(10~\text{m/s}\) in the north-to-south direction. What is the direction in which she should hold her umbrella?
[given: \(\tan 16^{\circ}= 0.29, \& \tan 18^{\circ}= 0.33]\)

In a harbor, the wind is blowing at the speed of \(72~\text{km/h}\), and the flag on the mast of a boat anchored in the harbor flutters along the \(\mathrm{N\text-E}\) direction. If the boat starts moving at a speed of \(51~\text{km/h}\) to the north, what is the direction of the flag on the mast of the boat?