Final answer:
To locate the four points D, G, B, and C on the diagram, one needs to draw lines representing each distance using the given bearings and scale. To find the position of the chief's home H, one must construct the perpendicular bisectors of the segments connecting the points and mark the intersection. The distance from H to the borehole B can then be measured using the scale.
Step-by-step explanation:
To construct a diagram showing the positions of D, G, B, and C using a scale of 2cm to represent 1km, follow these steps:
- Draw a point to represent the dip tank (D).
- From D, draw a line 10cm long to the right (east) to represent the grinding mill (G), since 5km is represented by 10cm on this scale.
- Measure a bearing of N30 degrees W from D and draw a line 6cm long to represent the borehole (B), which is 3km away.
- To locate the clinic (C), draw a line directly north of D to intersect with a line at a bearing of N45 degrees W from G. The length of both should be proportionate to maintain the scale if distance is known.
To find the possible position of the chief's home (H) such that it is equidistant from D, B, and C, you would:
- Draw the perpendicular bisectors of any two lines connecting these points.
- The intersection point of these bisectors is the point equidistant from the three locations, which would be labeled H.
- Determine the distance from H to the borehole (B) using the scale.
However, without knowing the actual distances between the dip tank, clinic, or borehole, we cannot give exact lengths or positions for C or H in this scenario.