Question

A person started walking towards the east and covered a distance of 9 m and turned towards the north and covered a distance of 30 m. Then, he turned towards the west and covered 2 m and finally turned towards the south and walked a distance of 6 m. The distance between the initial and final positions of the person is:

[1 mark]

• A. $31m$
• B. $\sqrt{1417}m$
• C. $25m$
• D. $50m$

Answer 1

The correct option is C $25m$



The figure shows the path covered by the person.
From the figure, by applying the Pythagoras theorem, we get,
$x^2=7^2+{24}^2{x}^2=49+576=625\sqrt{x}=\sqrt{625}$
$x=25m$
$\therefore$ The distance between the initial and final positions of the person is $25m.$