Sohan walks 3km straight from the door that opens towards the east of his house, turns left and walks 2km, then turns left and walks 5km, then turns left and walks 2km. How far is he directly from his house?
Sohan walks 3km straight from the door that opens towards the east of his house, turns left and walks 2km, then turns left and walks 5km, then turns left and walks 2km. How far is he directly from his house?
Tracking each leg from the door (East 3km, then North 2km, then West 5km, then South 2km) and adding them up as coordinates shows Sohan ends up 2km west and directly in line with the starting point, so his straight-line distance from the house is 2km.
Re-check your working by substituting the answer back into the original question.