Question

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.)

Answer 1

209440×10³ fathom

Step-by-step explanation:

1 fathom = 6 ft

`1\ mile=5280\ ft\\\Rightarrow 1\ ft=(1)/(5280)\ mile`

`6\ ft=(6)/(5280)\ mile`

`1\ fathom=(6)/(5280)\ mile\\\Rightarrow 1\ mile=(5280)/(6)\ fathom`

So,

`238000\ miles=238000* (5280)/(6)\ fathom\\\Rightarrow 238000\ miles=209440000\ fathom`

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