A man can swim at a speed `2ms^(-1)` in still water. He starts swimming in a river at an angle `150^(@)` with direction of flow of water and reaches at the exactly oppsite point on the opposite bank.
(a) Find the speed of flowing water.
(b) If width of river is 1 km then calculate the time taken also

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as given in the question.

### Part (a): Find the speed of flowing water.

1. **Understanding the Problem**:
- The man swims at a speed of \(2 \, \text{m/s}\) at an angle of \(150^\circ\) with respect to the direction of the river's flow.
- He reaches a point directly opposite to his starting point on the opposite bank.

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