P, q, r are arranged sticks. P is 10km north of q. The bearing of r from p is 223, and the bearing of q from r is 097. Find the distance of r from p. Show full working both the bearing resulting diagram and the formular

1 answer

Draw a diagram. The measures of the angles of triangle PQR are
P:43
Q:83
r:54

Now just use the law of sines to get PR:

PR/sin83 = 10/sin54