Question

Mr. Vivek walks 6 meters North-East, then turns and walks 6 meters South-East, both at 60 degrees to East. He further moves 2 meters South and 4 meters West. What is the straight distance in meters between the point he started from and the point he finally reached?

• A.
  $2\sqrt{2}$
• B.
  $2$
• C.
  $\sqrt{2}$
• D.
  $\frac{1}{\sqrt{2}}$

Answer 1

The correct option is A

$2\sqrt{2}$

$\Delta VNEisequilateral\Delta$

$So,VE=6Also,VP=VE-PE=6-4=2$

$VP=2,PW=2$

$So,VW=\sqrt{V{P}^2+P{W}^2}=2\sqrt{2}$