An ant movers 10 cm towards east and turns to the right-hand moves 3 cm. Then…
2024
An ant movers 10 cm towards east and turns to the right-hand moves 3 cm. Then it moves to its right and moved 3 cm. It then turns to his left and moves 2 cm. Finally, it turns to his right and travel's 7 cm. How far and in which direction it is now from the starting point?
- A.
5cm,East
- B.
5cm,West
- C.
5cm,North
- D.
5cm,South
Attempted by 5 students.
Show answer & explanation
Correct answer: D
Method: Track the ant using coordinates with east as +x and north as +y, starting at (0, 0).
Move 10 cm east → (10, 0).
Turn right (facing south) and move 3 cm → (10, −3).
Turn right again (facing west) and move 3 cm → (7, −3).
Turn left (facing south) and move 2 cm → (7, −5).
Turn right (facing west) and move 7 cm → (0, −5).
Final position: (0, −5), which is 5 cm directly south of the starting point.