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

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