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Four points B, C, Q and D lie on the same plane. Point B is 42km due southwest point Q. Point C is 50 km on a bearing of S60°E from Q. Point D is equidistant from B, Q and C.

  1. Using the scale: 1cm represents 10km, construct a diagram showing the positions of B, C, Q and D. 
  2. Determine the
    1. Distance between B and C
    2. Bearing of D from B 
  3. Find the distance and bearing of D from C. 

1 Answer

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  1.  
    Diagram showing positiond of B C Q and D
  2.  
    1. BC = 7.4 × 10
            =74km ±1
    2. 063° ±1
  3.  Distance; DC = 4.3 × 10
                    =43km ±1
    Bearing = 282° ±1

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