Four towns are situated in such a way that town Q is 500km on a bearing of 120º from P. Town R is 240km on a bearing of 210º from town P, while town S is due north of town Q and due east of town P.

- Draw a sketch diagram showing the relative positions of P, Q, R and S.
- Find by calculation
- the distance QR
- the distance QS
- the angle PRQ
- area of triangle PQS