Question: QUESTION 2 (a) Derive using a diagram the forward mapping formulae of the north polar stereographic projection in spherical form. Subsequently, derive the expression of

QUESTION 2 (a) Derive using a diagram the forward mapping formulae

QUESTION 2 (a) Derive using a diagram the forward mapping formulae of the north polar stereographic projection in spherical form. Subsequently, derive the expression of the scale factor along the meridian, m, given the following general formula: 2712 ma A[s). Cena: where is latitude, E is Easting, Nis Northing and R is the radius of the sphere. Specify the relationship between me and the scale factor along the parallel, m, for the stereographic projection. [70 marks] (b) Explain how the gnomonic and the Mercator projections complement each other in marine navigation. [30 marks] QUESTION 2 (a) Derive using a diagram the forward mapping formulae of the north polar stereographic projection in spherical form. Subsequently, derive the expression of the scale factor along the meridian, m, given the following general formula: 2712 ma A[s). Cena: where is latitude, E is Easting, Nis Northing and R is the radius of the sphere. Specify the relationship between me and the scale factor along the parallel, m, for the stereographic projection. [70 marks] (b) Explain how the gnomonic and the Mercator projections complement each other in marine navigation. [30 marks]

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