Direction sense · solved example
A person starts from point P and walks 8 km east to reach Q. He turns left and walks 6 km to reach R, turns left again and walks 13 km to reach S, then turns left once more and walks 6 km to reach T. How far is T from P, and in which direction?
- 5 km east
- 5 km westCorrect
- 6 km west
- 7 km east
- 8 km west
Solution
Track the two axes separately. Facing east, a left turn faces north, the next left faces west, and the third faces south. So the moves are 8 km east, 6 km north, 13 km west and 6 km south. The northward and southward legs are both 6 km and cancel exactly, leaving 8 km east against 13 km west, a net 5 km west. Option A carries the right distance with the direction reversed, which is what happens if the larger westward leg is subtracted the wrong way round.