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A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is approximately 6 ft in length. Take the distance from Earth to the Moon to be 238,000 miles, and use the given approximation to find the distance in fathoms. (Enter a number with the correct number of significant figures.)

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Answer:

209440×10³ fathom

Explanation:

1 fathom = 6 ft

[tex]1\ mile=5280\ ft\\\Rightarrow 1\ ft=\frac{1}{5280}\ mile[/tex]

[tex]6\ ft=\frac{6}{5280}\ mile[/tex]

[tex]1\ fathom=\frac{6}{5280}\ mile\\\Rightarrow 1\ mile=\frac{5280}{6}\ fathom[/tex]

So,

[tex]238000\ miles=238000\times \frac{5280}{6}\ fathom\\\Rightarrow 238000\ miles=209440000\ fathom[/tex]

Hence, the distance between Earth and Moon is 209440000 or 209440×10³ fathom

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