Compute the linear arc distance, Engineering Mathematics

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Question

Assume the earth is a sphere with a radius of 6,371,000.000 meters. Three points are defined by their latitude and longitude.

Point Latitude (N) Longitude (W)

A 40° 25' 48.67" 86° 54' 54.00"

B 40° 25' 47.00" 86° 54' 54.00" Purdue CE

C 40° 25' 47.00" 86° 54' 55.87"

a. Compute the linear arc distance along the meridian from A to B to the nearest 0.01 meters?

b. Is the direction of travel from A to B along the meridian to the north or to the south?

c. Compute the linear arc distance along the parallel from B to C to the nearest 0.01 meters?

d. Is the direction of travel from B to C along the parallel to the east or to the west?

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