A man travels 4 km towards North, then 6 km towards East and further travels 4 km towards North. How far is he from the starting point?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 10 km
The two northward walks add up, and the eastward walk is at right angles to them, so the start, the turning corner and the end form a right triangle; the distance from the start is its hypotenuse.
Total distance north \(=4+4=8\) km
Distance east \(=6\) km
Distance from the start \(=\sqrt{8^2+6^2}=\sqrt{100}=10\) km
