Rekha moves 15 km in East direction, then turns towards North and moves 4 km. From here she turns towards West and travels 12 km. How far and in which direction is she from her starting point?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5 km, North-East
The East and West walks partly cancel: 15 km East and then 12 km West leave Rekha 3 km East of the start, and the 4 km North walk puts her 4 km North of it.
The straight line from the start to the end is the hypotenuse of a right triangle with sides 3 km and 4 km: \(\sqrt{3^2+4^2}=\sqrt{25}=5\) km
The end point lies both East and North of the start, so she is 5 km to the North-East