Neha stands facing south. She turns right and walks 6 km, turns left and walks 6 km, then turns left again and walks 12 km. How far and in which direction is she from her starting point?

6\sqrt{2}

km south-westCorrect answerYour answer

6\sqrt{2}

km north-westCorrect answerYour answer

6\sqrt{2}

km south-eastCorrect answerYour answer

6\sqrt{2}

km north-eastCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Facing south, her right is west: 6 km west.
Facing west, her left is south: 6 km south.
Facing south, her left is east: 12 km east, which takes her from 6 km west to 6 km east.
She is 6 km east and 6 km south, so $6\sqrt{2}$ km south-east.

Worth noting

When you face south, left and right are the reverse of the map: right is west, left is east. Swapping every turn gives south-west. North-west is the start as seen from Neha, measured the wrong way round.

Concept: Left and right when facing south
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsDistance and final position

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Ten questions from Direction Sense, at your own pace.

Neha stands facing south. She turns right and walks 6 km, turns left and walks 6 km, then turns left again and walks 12 km. How far and in which direction is she from her starting point?

Explanation