A person goes 10 km north and 20 km east

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A person goes $10\, km$ north and $20\, km$ east. What will be displacement from initial point........$km$

A

$22.36$

B

$2$

C

$5$

D

$20$
A person goes $10\, km$ north and $20\, km$ east. What will be displacement from initial point........$km$
$\overrightarrow {AC} = \overrightarrow {AB} + \overrightarrow {BC} $
$AC = \sqrt {{{(AB)}^2} + {{(BC)}^2}} $
$ = \sqrt {{{(10)}^2} + {{(20)}^2}} $
$ = \sqrt {100 + 400} $$ = \sqrt {500} $$ = 22.36\,km$