Question

the depth of a certain part of the earths seabed is 36,066 feet. how deep is it in (a) fathoms? (b) leagues (marine)? click the icon to view the uscs measurements. a. the depth is fathom(s). (type an integer or a decimal.)

Explanation:

Step1: Recall the conversion factor for feet to fathoms

1 fathom = 6 feet.

Step2: Calculate the depth in fathoms

Divide the depth in feet by 6. Let $d_{fathoms}$ be the depth in fathoms and $d_{feet}=36066$ feet. Then $d_{fathoms}=\frac{d_{feet}}{6}=\frac{36066}{6}$.
$d_{fathoms} = 6011$.

Step3: Recall the conversion factor for feet to leagues

1 league (marine) = 3 nautical miles and 1 nautical mile = 6076.12 feet. So 1 league (marine)=$3\times6076.12 = 18228.36$ feet.

Step4: Calculate the depth in leagues

Divide the depth in feet by the number of feet in a league. Let $d_{leagues}$ be the depth in leagues. Then $d_{leagues}=\frac{d_{feet}}{18228.36}=\frac{36066}{18228.36}\approx1.98$.

Answer:

a. 6011
b. 1.98