A swimmer wants to directly reach the point B starting from A. The river is flowing along x-axis. If the velocity of the swimmer is `sqrt(2)/(3)` times the velocity of the river, find the angle `theta` from the line AB at which his swimming effort should be directed.

Options

A. `60^(@)`
B. `30^(@)`
C. `45^(@)`
D. `65^(@)`

Answer

a

Explanation

Since resultant velocity should be directed along AB `rarr` Component of velocity AB should be zero.
`rarr sqrt(2)/(3) v sin theta = v sin 45 rarr sin theta =sqrt(3)/(sqrt(2)xx(1)/sqrt(2)=sqrt(3)/(2) rarr theta =60^(@)`