Directions (79-81): Answer the questions based on the information given below.

Seven hockey players H, I, J, K, L, M & N are at different positions with each other in a hockey ground. N is 14m west of K who is 10m west of H. J is east of N. The distance between H and N is twice the distance between J and N. L is 16m north of J. M is 12m east of L. M is 10m north of I.

In which direction is L with respect to K?

The correct option is North-west.

Step 1: Understand the positions of the players

Let us determine the coordinates of each player by placing one player at the origin (0, 0).

1. Let player N be at the origin (0, 0).

2. N is 14m west of K:
This means K is 14m east of N.
Coordinates of K = (14, 0).

3. K is 10m west of H:
This means H is 10m east of K.
Distance between N and H = 14m + 10m = 24m.
Coordinates of H = (24, 0).

4. The distance between H and N is twice the distance between J and N, and J is east of N:
Distance between H and N = 24m.
Therefore, distance between J and N = 24 / 2 = 12m.
Since J is east of N, the coordinates of J = (12, 0).

5. L is 16m north of J:
Coordinates of L = (12, 16).

6. M is 12m east of L:
Coordinates of M = (12 + 12, 16) = (24, 16).

7. M is 10m north of I:
Coordinates of I = (24, 16 - 10) = (24, 6).

Step 2: Determine the direction of L with respect to K

Position of K = (14, 0)
Position of L = (12, 16)

Comparing the position of L to K:

- X-coordinate of L (12) is less than X-coordinate of K (14), which means L is to the West of K.

- Y-coordinate of L (16) is greater than Y-coordinate of K (0), which means L is to the North of K.

Combining these two directions, L is in the North-west direction with respect to K.