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A car travelled from town P to town Q on a bearing of 56 for 18km it then travel to another town R on a bearing if 200 if R is directly south of P calculate

a) Distance QR
b) Distance PR

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2 answers
  1. Draw triangle PQR
    QR/sin124° = PR/sin14° = 18/sin42°

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    oobleck
  2. PQ = 18km[56o].
    P = 180-56 = 124o.
    R = 200-180 = 20o.
    Q = 180-124-20 = 36o.

    QR/sin124 = 18/sin20
    QR = 44 km.

    PR/sin36 = 18/sin20
    PR = 31 km.

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