A motor boat, with its engine on in a running river and blown over ...

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A motor boat, with its engine on in a running river and blown over by a horizontal wind is observed to travel at \( 20 \mathrm{kph} \)
\( \mathrm{P} \) in a direction \( 53^{\circ} \) East of North. The velocity of the boat with its

W engine on in still water \& blown over by the horizontal wind is \( 4 \mathrm{kph} \) Eastward and the velocily of the boat with its engine on over the running river, in the absence of wind is \( 8 \mathrm{kph} \) 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.
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