Question

GNOMONIC PROJECTION x(m)x (on scale) 90 75 60 45 30 35 0 1707104 3678299 6371000 1034896 9098731 0.000 0.016 0.033 0.058 0.100 0.083 (meters) 6371000 9.09091E-09 Scale 1 110000000 MERCATOR PRJECTION p Y (mY (on scale) -7.07323E-101 15 30 45 60 75 1687309.96 499629.446 5615231.123 8390338.761 12917772.21 0.000 0.014 0.029 0.047 0.070 0.108 1.982 90 237838646.6 35 0.035 (meters) 4159221.849 6371000 8.33333E-09 Scale 1 120,000,000 2"TT R (equator length) 0030173.590.33358478 (meters) on earth on scale Draw on a letter size paper (using the appropriate scale factor) the geographic grid as it appears in the following projections: (1) Gnomonic projection (orthogonal, azimuthal, tangent to the Pole) for the North hemisphere and down to the parallel of 30 degree. (2) Mercator Projection. The step between two successive parallels and meridians should be 15 degree. Consider a spherical earth with a radius equal to 6371km. Locate and draw on top of each map (geographic grid) three cities, e.g., Fredericton, Rome, and Tokyo, as well as the shortest earth route connecting them. Compute and report the spherical distance between them. Use MS Excel to perform the calculations.

Answer 1

1. They represent earth with parallel lines of latitute and longitude. Mercator projection are used due their ability any point on the globe.

2. Whereas the gnomonic projection is a noncomforamal map projection.