A motor boat, with its engine on in running river and blown over by a horizontal wind is observed to travel at 20 km/hour in a direction 53Âº east of north. The velocity of the boat with its engine on in still water and blown over by the horizontal wind is 4 km/hr eastward and the velocity of the boat with its engine on over the running river, in the absence of wind is a 8 km/hr, due south. Calculate
(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.
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