A car travels $6 \,km$ towards north at an angle of $45^o $ to the east and then travels distance of $4 \,km$ towards north at an angle of $135^o $ to the east. 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
A car travels $6 \,km$ towards north at an angle of $45^o $ to the east and then travels distance of $4 \,km$ towards north at an angle of $135^o $ to the east. 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
- A
$\sqrt {50} \,km$ and ${\tan ^{ - 1}}(5)$
- B
$10 \,km$ and ${\tan ^{ - 1}}(\sqrt 5 )$
- C
$\sqrt {52} \,km$ and ${\tan ^{ - 1}}(5)$
- D
$\sqrt {52} \,km$ and ${\tan ^{ - 1}}(\sqrt 5 )$
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