The pes, a Roman measure of length, is approximately equal to 11.65 inches. It is also equivalent to 16 smaller Roman units called digits. Based on these relationships, 75 Roman digits is equivalent to how many `ul("feet")`, to the nearest hundredth? (12 inches = 1 foot)

Answer

4.55

Explanation

Since there are 16 Roman digits in a Roman pes, 75 digits is equal to `(75)/( 16)` pes. Since 1 pes is equal to 11.65 inches, `(75)/( 16)` pes is equal to `(75)/(16)` (11.65) inches. Since 12 inches is equal to 1 foot, `(75)/( 16)`(11.65) inches is equal to `(75)/(16)` (11.65)( `(1)/(12)` ) 4.55078125 feet. Therefore, 75 digits is equal to `(75)/(16)` (11.65)(`(1)/ (12)`) = 4.55078125 feet. Rounded to the nearest hundredth of a foot, 75 Roman digits is equal to 4.55 feet.