Question

A boy traveled 10 meters to the east and then he turned 4 meters to the North. What is his resultant displacement.

Answer 1

The resultant displacement

$$d=\sqrt{10^2+4^2}=10.8\:\rm m$$ $$\theta=\tan^{-1}\frac{4}{10}=21.8^\circ\;\rm N\: of\; E$$