If you are facing North-East and move 10 m forward, then move `7.5` m in North-West direction. Then you are
(A) 12m, North of your initial positon
(B) `12.5 m,` East of your initial position
(C) 12 m, South of your initial position
(D) `12.5 m`, North of your initial position.

Options

A. North of your initial position
B. South of your initial position
C. East of your initial position
D. 12 m from your initial position

Answer

A

Explanation

You starts from P, moves towards North-east a distance of 10 m upto Q, turns left (`90^(@)` anticlockwise) and moves 7.5 m upto R.

So, R lies to the north of P.
Clearly, `DeltaPQR` is right angled at Q.
So, `PR^2=PQ^2+QR^2`
`=(10)^2+(7.5)^2=100+56.25`
= 156.25
`rArrPR=sqrt(156.25)m=12.5m`
Therefore, you are 12.5 m to the North of your initial position.