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If you look at the bottom of the map, there should be a scale. Take a ruler, measure the distance for each measurement, and convert to what you need
Degrees are a measure of angular separation, not distances. You cannot, therefore, use the protractor for determining distances.
A scale is used to measure a weight of an object
A map with a scale of 1:50 000 (one in fifty thousand) means that 1 centimetre measured on the map represents 50,000 centimetres on the ground.
The smallest unit is the Planck Length. Theoretically, it is not that there can be nothing smaller, but for various reasons that have nothing to do with the limits of technology there is nothing that can be known about anything that happens to be smaller. For scale, the number of Planck Lengths in the diameter of a proton is 10 to the twentieth power.