Addition of bearings (Eastings/Northings)

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SUMMARY

This discussion focuses on calculating bearings and distances between two points defined by Eastings and Northings. The user calculated the bearing from point A (Easting 182.373, Northing 139.901) to point Y (Easting 200, Northing 200) using Pythagorean theorem and inverse tangent functions, arriving at a bearing of 37°29'32" from the North axis for point A and 45° for point Y. The user inquired about the correct method to find the bearing from A to B, questioning whether to simply add the two bearings together, which is incorrect. The correct approach involves vector analysis or using trigonometric principles to determine the resultant bearing.

PREREQUISITES
  • Understanding of Eastings and Northings coordinate system
  • Proficiency in trigonometric functions, specifically inverse tangent
  • Knowledge of Pythagorean theorem for distance calculation
  • Familiarity with bearing calculations and angular measurements
NEXT STEPS
  • Study vector analysis for calculating resultant bearings
  • Learn about trigonometric identities and their applications in navigation
  • Explore tools for graphical representation of bearings, such as GeoGebra
  • Research advanced bearing calculation methods, including the use of spherical trigonometry
USEFUL FOR

Students in surveying, navigation, or geometry, as well as professionals needing to calculate bearings and distances in geographic information systems (GIS).

CivilEngPAIN
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Homework Statement


Hi everyone. My problem is related to bearings, and finding the bearings between two points and their distance apart.
A= Easting 182.373, Northing 139.901
Y= Easting 200 Northing 200

Homework Equations



The Attempt at a Solution


Now for A's bearing I used pythagoras and inverse tan to calc the angle from the East/x axis was 52'30'28', thus subtracting it from 90 degrees gave me 37'29'32' from the y axis/north to bearing A.

For bearing B i did the same, and came up with a value from it's north position clockwise to Y bearing of 45' (inverse tan (200/200)).

Now to find the bearing from A to B, do I just add these bearings together, for a A to Y bearing of 82'29'32'?

If not, what do I do. Surprisingly google couldn't help me.

Thanks a lot
 
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You could draw this out on a sheet of graph paper, using an appropriate scale, then measure the angle and distance apart of the two locations to see how well your calculator work compares with the "reality".
 
NascentOxygen said:
You could draw this out on a sheet of graph paper, using an appropriate scale, then measure the angle and distance apart of the two locations to see how well your calculator work compares with the "reality".

Thanks mate but I kind of need how to do it numerically to do it in exams...
 

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