Reddy starts from his house, then travels 6 km towards the east, 12 km towards…

Correct answer: 27.8 km to the north‑east.

Step-by-step resolution into east (x) and north (y) components:

• 6 km towards the east → x += 6, y += 0

• 12 km towards the left (while facing east) → left = north → x += 0, y += 12

• 6 km towards the right (while facing north) → right = east → x += 6, y += 0

• 7 km to the south → x += 0, y -= 7

• 4 km towards the left (while facing south) → left = east → x += 4, y += 0

• 12 km towards the left (while facing east) → left = north → x += 0, y += 12

• 6 km towards the right (while facing north) → right = east → x += 6, y += 0

Compute net displacements:

• Net east displacement = 6 + 6 + 4 + 6 = 22 km

• Net north displacement = 12 - 7 + 12 = 17 km

Distance from start = sqrt((22)^2 + (17)^2) = sqrt(484 + 289) = sqrt(773) ≈ 27.8 km.

Direction: both east and north components are positive, so the position is to the north‑east of the starting point.