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?

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.