Question

If you are facing north-east and move 10 m forward, turn left and move 7.5m, then you are a) north of your initial position b) south of your initial position c) east of your initial position d) 12m from your initial position

Answer 1

a north of your initial position

Answer 2

Answer:

(a). You are at north of your initial position

Explanation:

If you are facing north-east and move 10 m forward, turn left and move 7.5 m then, you are a north of your initial position.

You are at origin O and your face in north - east.  You moved 10 m forward from O to A. You turned left at 90° from point A to B then you are at north of your initial position.

Now, The distance of OB is

$OB = \sqrt{(OA)^2+(AB)^2}$

$OB=\sqrt{100+56.25}$

$OB=12.5$

Therefore, Option d is incorrect.

Hence, Option A is correct.