An aircraf flies a $400 km/hr$ in still air. A wind of $200 \sqrt 2 km/hr$ is blowing from south. A pilot wishes to travel from A to a point B north east of A .Find the direction he must steer and time of journey if $AB=1000km$

Question

$ a)\;45^{\circ}\; from\; north , 2.61 hrs \\ b)\;60^{\circ}\; from\; north , 1.50\; hrs \\ c)\; 80^{\circ}\; from\; north , 2.15 hrs \\ d)\;75^{\circ}\; from \;north , 1.83 hrs $