Calculating longitudinal and lateral displacement from GPS coordinates involves understanding how latitude and longitude translate to distances, which varies based on proximity to the poles. The maximum values occur at the equator, complicating calculations as one moves north or south. A formula for calculating the distance between two points has been identified, but the user seeks to separate this into lateral and longitudinal components. The relationship between the hypotenuse and the angles formed by these components can be determined using trigonometric functions like sine and cosine. This approach allows for accurate calculations of the desired distances.