Cross Bearing Fix. The small craft fixed magnetic compass is essential for navigation, and while it can be used to get an approximate line of sight bearing on a fixed object, the hand held magnetic compass, or hand held electronic type is essential for accuracy. Bearing sights on at least 3 fixed objects should be taken over the widest arc and over the shortest period of time to obtain a position fix. Try to take the bearing most abeam of the vessel, last.
Write down the sights taken (compass bearings) and convert to true bearings by applying variation and deviation. Remember that because we are converting from compass to true, the mathematics will be opposite to converting from true to compass. If these are East, then add the corrections. If West, subtract the corrections. Apply the true sightings to the chart as follows. Remember that deviation is for the vessels heading, not for the bearing of the object.
a. For each true bearing obtained, set the parallel rule on a compass rose, step the 'sight' to pass through the observed point, and lay off a line at the approximate vessel position. Repeat for the other 'sights'.
b. Alternatively use the square protractor, centering it on each observed point, to lay off each line of sight.
The vessel is on all lines of sight and therefore must be at the point of intersection of the three lines. Due to unavoidable errors the resulting diagram will be in the form of a triangle or ‘cocked hat’.
If the cocked hat is small, its centre may be taken as being the position of the vessel. However, to err on the side of caution, the point of the triangle closest to danger should be taken as the position of the vessel. Often, a consistently large triangle indicates an error in the hand bearing compass, possibly due to unsuspected deviation. Take bearings well away from any possible ship board magnetic influence.