Which map projection yields the most accurate results for this distance calculation?

Refer to the exhibit.

The ArcGIS user is given data for the Arctic, and is asked to perform various types of analysis using the data. The data extends from the North Pole south to 55 degrees North Latitude Data layers may contain points lines, or polygons and include ice surveys from NOAA depth contours; continental margins, locations of known and suspected oil reserves, endangered species habitat and territorial boundaries for nations having Arctic coastline.

An ArcGIS user is asked to calculate the distance a cruise ship will travel through open water, departing from Nome, Alaska, with stops at Point Barrow Alaska Churchill Manitoba St John’s Newfoundland and ending in Bar Harbor Maine. On the basis of these calculations the cruise ship line will determine fuel requirements and travel time.

Which map projection yields the most accurate results for this distance calculation?
A . Albers equal area conic
B . Lambert azimuthal
C . Mercator
D . azimuthal equidistant

Answer: B