Question

A man walked 3 metre towards North, turned West and walked 2 metre then turned North and walked 1 metre and finally turned East and walked 5 metre. How far is he from the starting point ?

• A. $5$ metre
• B. $8$ metre
• C. $10$ metre
• D. $12$ metre

Answer 1

Answer: (A)

$5$ metre

Let us consider a Cartesian plane thinking positive X-axis as South,

Negative x axis as North, Positive Y-axis as East and Negative as West.

A man walked along negative X-axis $3$ m and then parallel to negative Y-axis he walked $2$ m.

And then parallel to negative X-axis he walked $1$ m and finally walked $5$ m parallel to positive Y-axis and he has coordinates of $(-4,3)$.

He makes right angle triangle with base AC=4, side AB=3 and hypotenuse BC.

$\therefore$ by Pythagoras theorem,

$B{C}^2=A{B}^2+A{C}^2$

$⟹$ $B{C}^2=3^2+4^2$

$\therefore$ $BC=5$.

Hence from origin he is at distance of 5 m.

Thus, option A is the correct.