Explanation:

Let's break it down step by step:

- Neha walks 51 m south (she is now 51 m south of home).

- Turns left (east), walks 44 m.

- Turns left (north), walks 83 m.

- After third walk, she goes north from a point already 51 m south—so she ends up 83 - 51 = 32 m north of her home.

- The pole is also 32 m north from her home. After the turns, both are at the same north-south position, but Neha is 44 m east of the line joining the pole and home.

- So, the distance between Neha and the pole is 44 m (purely east-west separation).

- Option:1, 14 m

- Option:2, 44 m

- Option:3, 7 m

- Option:4, 39 m

The correct answer is:

Option:2, 44 m