Abhinav started running from his house, he first ran for 12 km towards west, then he turned towards north and ran 16 km in that direction. How far Abhinav is from his house and in which direction ?

$\mathrm{AC}=\sqrt{(\mathrm{AB})^{2}+(\mathrm{BC})^{2}}=\sqrt{(12)^{2}+(16)^{2}}$

$=\sqrt{144+256}=\sqrt{400}=20 \mathrm{~km}$

Direction $\Rightarrow$ North-West