Final Answer:
Annie made the mistake of inputting the wrong coordinates into the routing system for Hope's destination.
Step-by-step explanation:
Annie's mistake occurred when she entered the destination coordinates incorrectly into the routing system. In routing, precise coordinates are crucial for accurate navigation. The intended location may have been misinterpreted due to the wrong input. For instance, a slight variation in longitude or latitude can lead to a completely different destination. This mistake directly affected the route plotted for Hope, leading to a deviation from the intended path.
The mistake can be illustrated mathematically by considering the impact of inputting incorrect coordinates. For instance, if the destination was meant to be at coordinates 40°N, 74°W, but Annie mistakenly entered 40°N, 47°W, the system would guide Hope to a location far from the intended destination. The disparity between the correct and incorrect coordinates leads to a substantial deviation in the calculated route. Even a small error in the input can result in a significant divergence in the navigational route, emphasizing the critical role of accuracy in inputting coordinates for precise routing.
Such errors emphasize the importance of double-checking coordinates and ensuring their accuracy before inputting them into any routing or navigation system. Attention to detail in entering coordinates is vital to prevent significant deviations in routes and ensure accurate navigation towards the intended destination.