ENGINEERING – URVEYING & GEOMATIC CALCULATOR
Coordinates From Bearing
A precise tool.
What is the Coordinates From Bearing & How does it work?
In surveying, a point can be located by starting from a known coordinate and moving a known distance along a bearing measured clockwise from true north.
The bearing must be converted from degrees to radians before applying trigonometric functions, because JavaScriptβs Math library expects radian input.
\Delta X = D \sin \theta, \quad \Delta Y = D \cos \theta
\Delta X = change in X, \Delta Y = change in Y
Adding these offsets to the original coordinates yields the target pointβs X and Y values, which can then be reported in the same coordinate system.
Parameters
Result
β
Frequently Asked Questions
How do I convert degrees to radians for this calculator?
Multiply the degree value by Ο/180 to convert it to radians.
What is the formula used to calculate ΞX and ΞY?
ΞX = D * sin(ΞΈ), ΞY = D * cos(ΞΈ), where D is the distance and ΞΈ is the bearing in radians.
How do I add the offsets to get the final coordinates?
Add ΞX to the original X coordinate and ΞY to the original Y coordinate to get the new coordinates.
Can this calculator handle bearings greater than 360 degrees?
No, bearings should be between 0 and 360 degrees. Use modulo operation if needed.
What is the purpose of this calculator in surveying?
It helps locate a new point by moving a specific distance from an existing known point at a given bearing.
Is JavaScript’s Math library used directly in this calculation?
Yes, trigonometric functions like sin and cos from JavaScript’s Math library are used after converting the bearing to radians.
Results are for informational purposes only and do not constitute professional advice.