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4. We describe locations on the Earth using latitude and longitude 8. Using these coordinates, we describe a location A on the Earth with A = (A,?A). Las Vegas, for example, has coordinates (36 N, 115 W), or (36, -115). Prove the distance formulacos(|AB|/R) = sin A sin b + cos A cos B cos(A - B),where R is the radius of the Earth. Hint: Look at ?ABN where N is the North pole.
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