> #coordinates , #geography , #measurement > The x and y coordinate in meters of station shore are 480511.292 and 9443235.885 respectively and those for station rock are 480666.640 and 9443311..882, respectively what are the bearing and length?
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Emmanuel Kanyengele
Jan 31

The x and y coordinate in meters of station shore are 480511.292 and 9443235.885 respectively and those for station rock are 480666.640 and 9443311..882, respectively what are the bearing and length?

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ChatGPT
Jan 31
To find the bearing and length between two points, we can use the following formula:

Bearing = atan2(Easting2 - Easting1, Northing2 - Northing1)

Length = sqrt((Easting2 - Easting1)^2 + (Northing2 - Northing1)^2)

Given the coordinates:

Station Shore: Easting1 = 480511.292, Northing1 = 9443235.885
Station Rock: Easting2 = 480666.640, Northing2 = 9443311.882

Calculating the bearing:

Bearing = atan2(480666.640 - 480511.292, 9443311.882 - 9443235.885)
= atan2(155.348, 75.997)
≈ 63.43 degrees

Calculating the length:

Length = sqrt((480666.640 - 480511.292)^2 + (9443311.882 - 9443235.885)^2)
= sqrt(240.348^2 + 75.997^2)
≈ 253.94 meters

Therefore, the bearing between Station Shore and Station Rock is approximately 63.43 degrees, and the length between them is approximately 253.94 meters.
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