A weather vane points towards the East. A gust of wind turns it through \(135^\circ\) anticlockwise, and later another gust turns it through \(270^\circ\) clockwise. In which direction does the vane point now?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → South-West
Clockwise and anticlockwise turns cancel each other; only the net turn matters. The eight compass directions are \(45^\circ\) apart.
Net turn \(=270^\circ\) clockwise \(-\ 135^\circ\) anticlockwise \(=135^\circ\) clockwise
\(135^\circ=3\times45^\circ\), so 3 steps clockwise from East
East → South-East → South → South-West
Check step by step: \(135^\circ\) anticlockwise from East gives North-West; \(270^\circ\) clockwise from North-West gives South-West
The vane now points South-West.
