Question

Madhu walks $15$ metres towards the north, then she turns left at $90$ and walks 30 metres, then turns right at $90$ and walks $25$ metres. How far, she is from the starting point and in which direction?

• A. $50m$, west
• B. $50m$, north-west
• C. $60m$, north
• D. $55m$, north-east

Answer 1

The correct option is B $50m$, north-west


From the given figure,
$CX=BC+BX$
$=(25+15)m$
$=40$
Therefore,
$OC=\sqrt{(CX{)}^2+(OX{)}^2}$
$=\sqrt{{40}^2+{30}^2}$
$=\sqrt{2500}$
$=50m$

Hence from starting point, Madhu in north west direction.