The aim of this study was to develop a mathematical biomechanical modeling of a shooter's position while firing a rifle for accurate shooting. Gordon's method has been used to develop the model. This model comprises of six kinematic chains of the arms that represent the right shoulder joint, right elbow joint, right wrist joint, left shoulder joint, left elbow joint and left wrist joint. Gordon's method uses Kane's method to formulate the n dynamic equations of motion for n-link planar linkage to be written down without having to derive them. The findings should provide the correct angles of elbows, shoulders and wrist for left and right hands of soldiers while aiming at the target. Torque will be calculated from the model developed and the results obtained can assist the army or sportsman in order to obtain the correct posture while aiming.