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

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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Question 1

A research vessel travels from Port A at 28°S, 153°E to Port B at 28°S, 137°E along the 28°S parallel of latitude. Use the map provided and the radius of Earth at 28°S latitude (5,625 km) to calculate the distance travelled by the vessel along this route, correct to the nearest kilometre.

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Question 2

A shipping company needs to identify the location of three vessels in the Pacific Ocean. The map below shows their reported positions. Use the map to determine: (a) the latitude and longitude coordinates of Vessel A (1 mark) (b) the latitude and longitude coordinates of Vessel B (1 mark) (c) which vessel is located closest to the Prime Meridian (1 mark) (d) the change in longitude from Vessel A to Vessel C. (1 mark)

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Calculate angular distance and distance between two places on Earth on the same parallel of latitude.  𝐷 = 111.2 cos 𝜃 × angular distance where 𝐷 is distance in kilometres and 𝜃 is latitude
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Solve practical problems involving latitude, longitude, angular distance and distance.
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