A motor boat, with its engine on in a running river and blow n over by a horizontal wind is observed to travelat 20 kph in a direction `53^(@)` East of North. The velocity of the boat with its engine on in still water & blown over by the horizontal wind is 4kph East ward and the velocity of the boat with its engine on over the running river, in the absence of wind is 8 kph due south. Find:
(a) The velocity of the boat in magnitude and direction, over still water in the absence of wind.
(b) The velocity of the wind in magnitude and direction.

Answer

`[23.32 kph, 59^(@) SOW]`