A person moves `30 m` north,`, then `20 m towards east and finally `30sqrt(2) m` in south-west direction. The displacement of the person from the origin will be

Explanation

`x = 20 - 30 sqrt(2) cos 45^(@) = 20 - 30 = -10 m`
`y = 30 - 30 sqrt(2) sin 45^(@) = 30 - 30 = 0`
Displacement `= 10 m` along the west