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General Mathematics · Unit 3 · Earth geometry and time zones · Locations on the Earth

Solve practical problems involving latitude, longitude, angular distance and distance.

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Question 1

Two weather stations, Fairview and Greenhill, lie on the parallel of latitude \(28^\circ\) S. Fairview is at longitude \(142^\circ\) E and Greenhill is at longitude \(151^\circ\) E. The radius of Earth at this latitude is \(5{,}580\) km. Which option shows the distance along the parallel between the two stations, correct to the nearest kilometre?

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Question 2

A cargo ship departs from Port A, located at 22° 18′ S, 118° 42′ E, and travels due east along the parallel of latitude to Port B. The sun rises at Port B exactly 2 hours and 36 minutes earlier than at Port A. What are the coordinates of Port B?

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Question 3

A research vessel departs from Port A at 18° 24′ S, 139° 52′ E. The vessel sails due east along the same parallel of latitude. At noon, the sun is directly overhead at a location 2 hours and 36 minutes ahead of Port A's local solar time. What are the coordinates of the vessel at noon?

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More in Locations on the Earth

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Locate positions on Earth’s surface given latitude and longitude, e.g. using a globe, map, GPS and other digital technologies.
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State latitude and longitude for positions on Earth’s surface, e.g. investigating a map of Australia and locating boundary positions for Aboriginal peoples’ an d Torres Strait Islander peoples’ language groups, Australian landmarks or local land boundaries.
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