40a. Triangulation from 3 known points

[b]Proposition: [/b] [i]Determine the position of an unknown accessible point P by its bearings from three inaccessible known points A, B, C.[/i] For example, say I am in a boat at point P, and A, B, C are known points on shore. I can't reach them, but all three are visible, and I take bearings. [i]What is my current position?[/i] This is problem #40 in Heinrich Dörrie's [i]100 Great Problems of Elementary Mathematics[/i]. I offer three solutions: -trigonometric -compass -vectors The first two accompany the book text. The third, vector solution is my own. All solutions work smoothly in a full circle about the three points.

 

Ryan Hirst

 
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Activity
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methods  navigation  vector 
Target Group (Age)
19+
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English (United States)
 
 
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