Q, P and R are three villages on a level ground. Q is 4km on a bearing of 040° from P, while R is 3km on a bearing of 130° from Q. Calculate the distance and bearing of P from R.

Answer 1

Draw the diagram. It is clear that angle PQR is 90° in a 3-4-5 triangle. So, PR = 5km

As for the direction, you can either figure the x- and y-coordinates of R, or note that angle QRP is arcsin(4/5), and add that to the diagram.