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Question 3What is the minimum number of satellites to use GPS?

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Question 3What is the minimum number of satellites to use GPS?

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Solution

The minimum number of satellites needed for a GPS (Global Positioning System) to work effectively is four. Here's why:

  1. The first satellite determines the initial location on a sphere surface. This is because the satellite sends a signal that travels at the speed of light, and the GPS device measures the time it takes for the signal to arrive. This gives the distance from the satellite, which could be anywhere on the sphere around the satellite with that radius.

  2. The second satellite narrows down the location to a circle. This is because there are two possible points where two spheres intersect, forming a circle.

  3. The third satellite narrows down the location to just two points. This is because there are two possible points where three spheres intersect.

  4. The fourth satellite is used to determine the exact location out of the two possible points. This is also used to provide a check for the GPS receiver's clock, ensuring its accuracy.

So, in conclusion, a minimum of four satellites are needed for a GPS to function accurately.

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