Question

A boat travels north across a river at a velocity of 22 meters/second with respect to the water. The river's velocity is 2.2 meters/second to the east. What is the resultant velocity of the boat, as measured from the land?

Answer 1

Let \[v _{b}\] be the velocity of the boat
and\[v _{r}\] be the velocity of the river
The resultant is
\[v=\sqrt{v _{b}^{2}+v _{r}^{2}}\]
and the direction is
\[\theta= \tan ^{-1}(v _{b}/v _{r})\]
clockwise from the north