Explanation:

- The problem involves finding the distance x from the base of a 6 m high tower.

- Two angles of elevation from points A and B, at x meters and (x + 5) meters, are complementary.

- Complementary angles sum to 90 degrees.

- Using trigonometry, tan(angle) = (height of tower)/(distance from tower).

- For two angles ? and (90° - ?), tan ? = 6/x and tan(90° - ?) = 6/(x + 5).

- Set the equations: (x * (x + 5)) = (6 * 6).

- Solve this to find x = 4 meters.

The correct answer is Option: 1 - 4 m.