Final answer:
The boat traveled approximately 4.05 nautical miles or 7.52 kilometers between Noi and Poi, and approximately 8.81 nautical miles or 16.31 kilometers between Moi and Poi.
Step-by-step explanation:
To calculate the distance between Noi and Poi, we need to find the component of the boat's displacement in the north-south direction. Using trigonometry, we can calculate that the boat traveled 4.76 * sin(69°) in the northward direction from Noi to Poi. This distance is approximately 4.05 nautical miles or 7.52 kilometers. To find the total distance traveled between Moi and Poi, we can add the distances traveled in the northward and southward directions. The boat traveled 4.76 + 4.05 = 8.81 nautical miles or 16.31 kilometers between Moi and Poi.