A girl is standing outside her house facing north. Turning to her right she walks 50 metres. Then she turns left and walks 60 metres. She again turns right and walks 50 metres. Again she turns right and walks 80 metres. Finally she turns right again and walks 80 metres. In which direction is the girl now from the starting point?

The girl ends up to the south-east of her starting point.

Facing north, a right turn and 50 m east put her fifty east of start.

A left turn and 60 m north, then a right turn and 50 m east, place her hundred east and sixty north.

A right turn and 80 m south bring her to hundred east and twenty south.

A final right turn and 80 m west leave her twenty east and twenty south of start.

A point both east and south of the origin lies to the south-east.