Dustin, Lucas, Mike, and will have invested in devices that will display their locations relative to a
Question:
Dustin, Lucas, Mike, and will have invested in devices that will display their locations relative to a fixed reference point (Hawkins Lab) and the relative distance between each of their devices. They carry these devices with them at all times. Dustin's device isn't working properly, though, and it displays only the distance from his location to the others (and not the coordinates relative to Hawkins Lab). Assume Lucas, Mike, and will are all at the same altitude. Their positions relative to Hawkins Lab, and their distances from Dustin are:
Lucas: 1 mile due East of Hawkins Lab, √17 miles from Dustin,
Mike: 6 miles East and 4 miles North of Hawkins Lab, √26 miles from Dustin,
Will: 3 miles due North of Hawkins Lab, √41 miles from Dustin.
a. Describe Dustin's location is relative to Hawkins Lab.
Use the distance formula to write down equations for the given information. To get rid of unknowns which appear with power 2, use the fact that (x - a) 2 - (x - b) 2 = 2(b – a) x + a 2 - b 2
b. Lucas, Mike, and will stay where they are, but a few minutes later, their distances from Dustin change: from √17 miles to √21, from √26 miles to √30, and from √41 miles to √45. Lucas, Mike, and Will become quite concerned about Dustin's well-being. Why? (Where is Dustin now?
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