Rohan walks 6 km towards the North from his school. He then turns to his right and walks 8 km. Consider the following statements:
I. Rohan is now 10 km away from his school.
II. Rohan is now to the South-East of his school.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Only I
A right turn while facing North makes a person face East. The two walks are at right angles, so the distance from the school is the hypotenuse of a right triangle.
6 km North: 6 km north of the school
Turns right, now facing East, 8 km: 8 km east and 6 km north of the school
Statement I — Correct.
Distance \(=\sqrt{8^{2}+6^{2}}=\sqrt{64+36}=\sqrt{100}=10\) km
Statement II — Incorrect.
Rohan is east and north of the school, so he is to the North-East, not the South-East.
Only statement I is correct.
