Question

Renu walks $9$ kms towards East and then $12$ kms towards the South. How far is she from starting point?

• A. $15$ kms
• B. $6$ kms
• C. $7$ kms
• D. None of these

Answer 1

The correct option is A $15$ kms

Suppose, Renu starts walking from point A.

She start walking from A covers 9 kms and arrive at B, then she turn towards south and walk 12 kms.

Let that ending point be C.

Now, the question is being asked to measure the distance between A and C.

As, shown in above figure, by joining point A and C it results into a right angle triangle. In which AC is a ypotenus
So, we can use Pythagoras Theorem

$\therefore$ $A{C}^2=A{B}^2+B{C}^2$
$A{C}^2=9^2+{12}^2=81+144$
$\therefore$ $AC=15$ Km.

Hence, Renu is $15$ KM far from the starting point.