Point P is 5 km west of point Q. Point R is 5 km south of Q, and point S is 5 km west of R. Where is S with respect to P?

5 km northCorrect answerYour answer

5\sqrt{2}

km south-westCorrect answerYour answer10 km southCorrect answerYour answer5 km southCorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Place Q at the origin: P is 5 km west; R is 5 km south; S is 5 km west of R, so 5 km west and 5 km south of Q.
P and S are both 5 km west of Q, so they lie on the same north–south line.
S is 5 km further south than P: S is 5 km south of P.

Worth noting

$5\sqrt{2}$ km south-west is S measured from Q, not from P.

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