A car travles 6km towards north at an angle of `45^(@)` to the east and then travles distance of 4km towards north at an angle of `135^(@)` to east (figure). How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

Options

A. `sqrt(50)km` and `tan^(-1)(5)`
B. `10 km` and `tan^(-1)(5)`
C. `sqrt(52)km` and `tan^(-1)(5)`
D. `sqrt(52)km` and `tan^(-1)(sqrt(5))`

Answer

A