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Chapter 1: Problem 15

A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is approximately \(6 \mathrm{ft}\) in length. Take the distance from Earth to the Moon to be 250000 miles, and use the given approximation to find the distance in fathoms.

Short Answer

Expert verified
The distance from earth to the moon is approximately 220,000,000 fathoms.

Step by step solution

01

Convert Distance from Miles to Feet

There are 5280 feet in a mile. Therefore, to convert the distance from Earth to the Moon (250000 miles) to feet, multiply the number of miles by 5280. This results in \(250,000 \times 5280 = 1,320,000,000 \) feet.
02

Convert Distance from Feet to Fathoms

There are 6 feet in a fathom. So, to convert the distance from Earth to the Moon from feet to fathoms, divide the number of feet by 6. This leads to \(1,320,000,000 \div 6 = 220,000,000\) fathoms.

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