Step 1: To find the distance between P and R first draw the explanatory diagram as mentioned below:
Step 2:
From point Q the car has a bearing of 329 270 + 59
From the above figure we can see
RQP 59 24
RQP 35
Step 3:
Now in PQR we can use the cosine formula to fine the distance between P to R:
PR2 PQ2 QR2 2(PQ)(QR)Cos35 // RQP = 35
152 182 21518 0.819 // Cos35 = 0.819
225 324 442.26
549 442.26
PR2 106.74
PR
PR 10.33 Km
Answer : Distance between P and R is approximately 10.33 Km.
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