Question

Komal walks 9 kilometres towards North. From there, she walks 6 kilometres towards south. Then she walks 3 kilometres towards East. How far and in which direction is she with reference to her starting point ?

• A. $3\sqrt{2}$ kms, South-East
• B. $3\sqrt{2}$ kms, North-East
• C. $3$ kms, East
• D. $3\sqrt{2}$ kms, West

Answer 1

Answer: (B)

$3\sqrt{2}$ kms, North-East

A is the starting point of kamal who walks 9 kms to B she then turns back towards south 6 kms and reaches C from there she walks towards east 3 kms her final position is D which is NE of A making a right angled triangle at C and thus by Pythagorus theorem,
$AD=\sqrt{A{C}^2+C{D}^2}=\sqrt{3^2+3^2}=3\sqrt{2}$ Km towards NE.

Hence, option B is correct.