4. A pilot flying an aircraft at a constant speed of \(2000 \mathrm { kmh } ^ { - 1 }\) detects an enemy aircraft 100 km away on a bearing of \(045 ^ { \circ }\). The enemy aircraft is flying at a constant velocity of \(1500 \mathrm { kmh } ^ { - 1 }\) due west. Find
- the course, as a bearing to the nearest degree, that the pilot should set up in order to intercept the enemy aircraft,
- the time, to the nearest s , that the pilot will take to reach the enemy aircraft.