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 $135^o$ to 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 $135^o$ to 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?
- [AIIMS 2008]
- A
$\sqrt {50} \,km$ and ${\tan ^{ - 1}}\,\left( 5 \right)$
- B
$10\, km$ and ${\tan ^{ - 1}}\,\left( {\sqrt 5 } \right)$
- C
$\sqrt {52} \,km$ and ${\tan ^{ - 1}}\,\left( 5 \right)$
- D
$\sqrt {52} \,km$ and ${\tan ^{ - 1}}\,\left( {\sqrt 5 } \right)$
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- [AIEEE 2009]
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