e symmetrical to the external surface of the land (regular, without depressions and without heaps) after the excavations to remove the soil are carried out; Assume that the terrestrial form (geoid) is perfectly spherical and has an average radius of 637
It is necessary to build a large lake to increase the relative humidity in a given city. Data: The edge of the lake, located at the level of the geoid, is a circumference that touches the latitudes 6.2065° S and 7.0875° S; The topology of the lake bottom, up to its edge, will be symmetrical to the external surface of the land (regular, without depressions and without heaps) after the excavations to remove the soil are carried out; Assume that the terrestrial form (geoid) is perfectly spherical and has an average radius of 6370.00km. Use precision to 4 decimal places and do not use scientific notation. The engineering and topography teams have to answer the following questions:
a) What is the difference, in radians, of the longitudes whose arc corresponds to the measure of the lake's diameter?
b) How much, in inches, is the diameter of the lake?
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