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A motorboat with its engine ON, running ...

A motorboat with its engine ON, running along the river and blown over by a horizontal wind is observed to travel at 20 km/hr in a direction `53^(@)` east of north The velocity of the boat with its engine 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 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.

Text Solution

Verified by Experts

The correct Answer is:
() 23.32 km/hr,`59^(@)` South of west (b) 25.6 km/hr at `51,34^(@)` north of east.
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