Calculating Resultant Velocity for Long Distance Swimmers

[tychostar]

A long distance swimmers starts out swimming a steady 2mph at 30 degrees south of west. A 5mph current is flowing at 10 degrees north of east.

What is the swimmers resultant velocity?

 

[Bhumble]

Just break this into vectorial components, add like components, then recombine.

v r-hat = v cos @ x-hat + v sin @ y-hat