Speed of water in river is 5 m/min from west to east. A man can swim with 10 m/min in river water. At what angle should the man swim such that it can reach towards south with shortest path ?

Speed of water in river is 5 m/min from west to east. A man can swim w

1.	Speed of water in river is 5 m/min from west to east. A man can swim with 10 m/min in river water. At what angle should the man swim such that it can reach towards south with shortest path ?
Answer» At `30^(@)` with flow of water At `60^(@)` with flow of water At `120^(@)` with flow of water towards south Solution : Suppose velocity of fow of water is `vecv_(R)` and velocity of MAN is `vecv _(m).` From figure `SIN THEETA = (v _(R ))/(v _(m)) = (5)/(10) = (1)/(2) = theta = 30^(@)` `therefore` direction of velocity of man` = 90^(@)+0 =90^(@) + 30^(@) -120^(@)`