In ijk notation, the boat has velocity (relative to the water)
[tex]\vec v_{B/W}=(22\,\vec\imath)\dfrac{\rm km}{\rm hr}[/tex]
and the current has velocity (relative to the Earth)
[tex]\vec v_{W/E}=(10\cos225^\circ\,\vec\imath+10\sin225^\circ\,\vec\jmath)\dfrac{\rm km}{\rm hr}[/tex]
The boat's "true" velocity (relative to the Earth) satisfies
[tex]\vec v_{B/E}=\vec v_{B/W}+\vec v_{W/E}[/tex]
so that
[tex]\boxed{\vec v_{B/E}=(14.93\,\vec\imath-7.07\,\vec\jmath)\dfrac{\rm km}{\rm hr}}[/tex]
which translates to a speed of about 16.5 km/hr in a direction of 25.48º South of East.
