Mark M. answered 09/02/20
Mathematics Teacher - NCLB Highly Qualified
1) 40° 12' = 40.2°
2) Circumference = 2(4000)(π)
3) Arc = (40.2/360)(2)(4000)(π)
James E.
asked 09/02/20Latitude gives the measure of a central angle θ with vertex at the earth's center whose initial side goes through the equator and whose terminal side goes through the given location. The latitude of Springfield, Illinois is 40° 12′ north. Assuming the earth is a perfect sphere of radius 4000 miles, what is the distance from the equator to Springfield? (Approximate to nearest whole number.)
Mark M. answered 09/02/20
Mathematics Teacher - NCLB Highly Qualified
1) 40° 12' = 40.2°
2) Circumference = 2(4000)(π)
3) Arc = (40.2/360)(2)(4000)(π)
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