Meena walks 5 km towards the South from her house. She turns to her left and walks 3 km, and then turns to her left again and walks 9 km. Consider the following statements:
I. Meena is now 7 km away from her house.
II. Meena is now to the North-East of her house.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Only II
A left turn moves the facing direction one step anticlockwise: South → East → North. Keep track of the net east and net north distances.
5 km South: 5 km south of the house
Turns left, now facing East, 3 km: 3 km east, 5 km south
Turns left, now facing North, 9 km: 3 km east, \(9-5=4\) km north
Statement I — Incorrect.
Distance \(=\sqrt{3^{2}+4^{2}}=\sqrt{9+16}=\sqrt{25}=5\) km, not 7 km
Statement II — Correct.
Meena is east and north of her house, so she is to the North-East.
Only statement II is correct.
