We have to convert the Depth of Mariana Trench from feet to league units.

We can **solve** this problem **through dimensional analysis** by **using these conversion factors.**

1 league = 3 nautical miles

1 nautical mile = 1/21600 of earth’s circumference from poles

Distances over land are measured in statute miles (5280 ft), but distances over water are measured in nautical miles, where 1 nautical mile was originally defined as 1 minute of arc along an Earth meridian, or 1/21600 of the Earths circumference through the poles. A ships speed through the water is measured in knots, where 1 knot = 1 nautical mile per hour. Historically, the unit knot derived from the practice of measuring a ships speed by throwing a log tied to a knotted line over the side. The line had a knot tied in it at intervals of 47 ft. 3 in., and the number of knots run out in 28 seconds was counted to determine speed.

A league is defined as 3 nautical miles. The Mariana Trench, with a depth of 35798 feet, is the deepest point in the ocean. How many leagues deep is this?

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