If a person walks 8 km towards South then turns right and walks 8 km, again turns left and walks 10 km. In which direction is he from starting point ?

Question

Accepted Answer

To determine the direction in which the person is from the starting point, let's break down the movements step by step:

1. **Initial Movement**: The person walks 8 km towards the South. This means they are now 8 km south of the starting point.

2. **First Turn and Movement**: The person then turns right and walks 8 km. Since they were initially heading south, a right turn would mean they are now heading west. After walking 8 km west, they are now 8 km south and 8 km west of the starting point.

3. **Second Turn and Movement**: The person turns left and walks 10 km. From their westward direction, a left turn means they are now heading south again. After walking 10 km south, they are now 18 km south and 8 km west of the starting point.

Now, let's analyze the final position relative to the starting point:

- The person is 18 km south and 8 km west of the starting point. This position can be described as being in the "South-West" direction from the starting point.

**Explanation of Options:**

1. **East-South**: This would imply a position that is east and south of the starting point. However, the person is west and south, not east. Therefore, this option is incorrect.

2. **North-East**: This would imply a position that is north and east of the starting point. The person is actually south and west, making this option incorrect.

3. **North-South**: This option is not a valid direction as it suggests being both north and south simultaneously, which is not possible. The person is clearly south and west, so this option is incorrect.

4. **South-West**: This option correctly describes the person's position as being south and west of the starting point. The person is 18 km south and 8 km west, which aligns perfectly with the "South-West" direction.

Therefore, the correct answer is Option 4: South-West.