math

Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

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  1. 360 - 315 = 45
    so P is 45 degrees north of west from Q
    QRP is right angle
    so PR = RQ = 60 km

  2. My diagram shows a right-angled triangle PQR, with angle Q as 45° and RP = 60
    So you have a right-angled isosceles triangle.

    No calculations required, RQ is also 60 km

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