• Warm-up
• Try this next
• Think higher
• Read: mathematics
• Read: science
• Explore further

You only need elementary trigonometry to do this question if you use the guidance given in the hints.

London is at longitude $0^o$ and latitude $51.5^o$ North and Sydney at longitude $151^o$ East and latitude $34^o$ South. Taking the earth to be a sphere with radius 6378 kilometres, calculate the distance between London and Sydney.

If the flight path is the shortest route at an altitude of 6 kilometres calculate the distance along the flight path.