Question

Person travels 6km towards west, then travels 5km towards north ,then finally travels 6km towards west. where is he with respect to his starting position?

Answer 1

We need to find the distance between A and B.

Horizontal distance = 6 + 6 = 12 km

Vertical distance = 5 km

Hence using Pythagoras theorem,we need to have

⇒AB2 = 122 + 52

⇒AB2 = 144 + 25

⇒AB2 = 169

⇒AB = 13

Hence, distance between starting point and end point = 13 km

And the direction is of course north west as we can observe from the above image