Your cruise ship is leaving for a 610 league adventure. how many nautical miles is this

This problem is solved using dimensional analysis. It is known that there are 5280 yards in a league and that there are 3 feet in one yard. Finally, it is known that there are 6076 feet in one nautical mile. As a result, we can multiply these dimension together, making certain that the units cancel and leave us with only nautical miles. It is done as follows: (610 leagues) (5280yds/1 league) (3 ft/1yd) (1 nautical mile/6076ft) = 1590 naurtical miles.