Why can't the poles be shown on a standard Mercator map?

• A. The distortion is such that an infinitely tall map would be required
• B. Poles lie off the map area
• C. Latitude stops at 60 degrees
• D. To simplify the projection

Answer: (A)

The main idea is how the Mercator projection handles scale as you move toward higher latitudes. In this map, the scale factor grows without bound as latitude increases, because the distortion increases with secant of latitude. The vertical placement of a latitude is tied to a function that goes to infinity as you approach the poles, so the poles would require an infinitely tall map to be displayed accurately. Since a finite map sheet can’t accommodate that infinite stretch, the poles can’t be shown on a standard Mercator map. The other statements aren’t correct because the poles aren’t simply outside the map, latitude isn’t capped at 60 degrees, and the projection isn’t chosen to simplify display—it’s the mathematical growth of distortion toward the poles that prevents finite representation.