Question

A man walks $30m$ towards north, then $20m$ towards east and in the last $30\sqrt{2}m$ towards south-west. The displacement from origin is

• A. $10m$ towards west
• B. $10m$ towards east
• C. $10\sqrt{5}m$ towards south-west
• D. $60\sqrt{2}m$ towards east-north

Answer 1

The correct option is A $10m$ towards west

Man travels south west means in ${45}^o$ from east direction, then the horizontal and vertical displacements are $30m$ each in south and west direction. Therefore he moved towards west from origin by $10m$.