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Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this tells us that it lies on a particular sphere. Data from several satellites will locate the GPS device on the intersection of spheres. This problem examines different scenarios for intersections of spheres from the point of view of the GPS device: how many different satellites are needed to locate the GPS device? Does it matter how the satellites are configured in space? Aligns with G-MG.A.1 and G-GMD.B.4.
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Additional Tags
geometric model, geometric visualization, cc by-nc-sa 4.0, ccss.math, creative commons attribution-noncommercial-sharealike 4.0, g-gmd.b.4, g-mg.a.1, gps device, global positioning system ii, hsg-gmd.b.4, hsg-mg.a.1, illustrative mathematics, illustrative mathematics: g-mg, g-gmd global positioning system ii hsg-mg.a.1, hsg-gmd.b.4, satellite, use geometric shapes, their measures, and their properties to describe objects, global positioning system gps
Classroom Considerations
- Knovation Readability Score: 5 (1 low difficulty, 5 high difficulty)
- The intended use for this resource is Instructional|practice