Rashi travels 20 km north, turns right and travels 30 km, turns right and travels 35 km, turns left and walks 15 km, and finally turns left and walks 15 km. In which direction and how far is she from the start?

She ends 45 km east of the start.

North 20 gives (0,20).

Right faces east, 30 gives (30,20); right faces south, 35 gives (30,-15).

A left turn faces east; 15 km gives (45,-15).

A left turn faces north; 15 km gives (45,0).

From (45,0) the displacement is 45 km due east.