Question

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. 

Answer 1

1.  
   
2.  
   1. BC = 7.4 × 10
            =74km ±1
   2. 063° ±1
3.  Distance; DC = 4.3 × 10
                   =43km ±1
   Bearing = 282° ±1