Global positioning satellites are used to determine position with great accuracy. If the distance of a global positioning system from 4 satellites is known and the exact position of the four satellites being used is known, the position of the system including altitude can be estimated.

The distance of one...

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Global positioning satellites are used to determine position with great accuracy. If the distance of a global positioning system from 4 satellites is known and the exact position of the four satellites being used is known, the position of the system including altitude can be estimated.

The distance of one of the satellites is 19000 km. If it is required to know the position with an uncertainty of only 2 m, the distance can therefore lie between 19000.002 km and 18999.998 km.

The acceptable error in the distance is given by `(|19000 - 19000.002|/19000.002)*100` = 1.05*10^-5 %.

The number of significant figures required in the distance is 8.