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Restoration of Lost Corners by Proportionate Measurement
 
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  Section 2 - Fractional Measurements

We've already figured the tangent 0.00744, so from either the tables or by using a trig calculator, we can find that the bearing equals 0.4263 decimal degrees. To transfer this to decimal minutes, simple multiply all numbers to the right of the decimal point by 60. This gives us 25.5767 decimal minutes which give us a final bearing, North 0 degrees, 26 minutes East.

 

 

 

 

 

The distance can be determined several ways . . .

 

 

 

 

 

. . . from the sine or cosine of the angle or by using the Pythagorean theorem for right triangles.

All of the final distances compute to be about one-two thousandth of a chain longer than the previous retracement distance of 79.30. This equals approximately one and a half inch on the ground. That makes sense if we remember that the long sides of our right triangle are almost exactly one mile long while the total departure of 0.59 chains is slightly less than 40 feet, a very narrow triangle.

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