Mercedes makes two maps: Map A: an equirectangular projection with standard parallel ?1 based on a globe of radius 1. Map B: a Mercator simulation according to Method CARd.24 On each map, Mercedes draws a rectangle with vertical and horizontal edges, with opposite corners at Latimer, Ontario (at 44.361480? N, 76.511020? W) and Panama City, Panama (at 8.983333? N, 79.516667? W). To their surprise, Rectangle A (on Map A) has an area half as big as Rectangle B (on Map B). De- termine with justification the standard parallel ?1 for Map A.

Method CARd.24 (Determine (@, y) for D, A) To simulate a Mercator projection: r = A,y = In tan seco do. 0 . The x-axis represents the equator. . The y-axis represents a chosen meridian (assume OE unless otherwise specified)