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A boat man can row with a speed of 10 ...

A boat man can row with a speed of ` 10 km h^(-1)` in still water. If the river flows steadily at ` 5 km //h`, in which direction should the boatman row in order to reach a point on the other bank directly opposite to the point from where he stared ? The width of the river is ` 2 km`.

Text Solution

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Let `overset(rarr)V_(b)` and `overset(rarr)r_(r )` be the velocity of boatman and river respectively. Let `overset(rarr)R` be the resultant vector. For net velocity to be in the direction of AB, boatman must move along AC such that is the resultant velocity of boatman. `triangleABC`

so the boatman should row at an angle of `30^(@)` with AB In
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