Napoleon Bonaparte was reported to be about 5 feet 2 inches...

Napoleon Bonaparte was reported to be about 5 feet 2 inches tall as reported by contemporaries and at his autopsy. If these were in Paris units, $6.63 \%$ longer than English inches and feet, how tall was he actually in (a) English units, and (b) metric units?

Key Concepts

Unit Conversion

This concept deals with translating measurements from one system of units to another. It involves applying the appropriate conversion factors to ensure that the measurement remains consistent across different unit systems, such as converting from Paris units to English units or to the metric system.

Conversion Factor

A conversion factor is a numerical multiplier used to convert a quantity expressed in one unit into another unit. In this context, it represents the 6.63% difference between Paris inches and English inches, meaning that Paris units are approximately 1.0663 times larger, so converting requires adjusting measurements appropriately.

Historical Measurement Systems

Historical measurement systems often varied by region, and understanding these differences is crucial when interpreting historical data. The question highlights that Paris units were used instead of the more commonly recognized English units, which means one must account for discrepancies in unit lengths when comparing measurements from different sources.

Metric Conversion

Metric conversion involves translating measurements from one system (English/Paris units) into the metric system. This is typically done by using fixed conversion values, such as 1 inch being equivalent to 2.54 centimeters, to express the measurement in a widely recognized and standardized format.

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