# math

Canadian soldiers are practicing maneuvers in the Arctic, and all soldiers are starting at the same location. Platoon 1 is ordered to maintain their present location, Platoon 2 is ordered to march due north 1000 m, and Platoon 3 is ordered to march 800 m 40° East of North. How far away is Platoon 2 from Platoon 3 after the march?

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1. Simple application of the cosine law
let the distance between them be d
(scale down so that 800-->8, 1000---> 10, just to make the numbers smaller)10^2+8^2
d^2 = 8^2 + 10^2 - 2(8)(10)cos40°
finish the arithmetic.

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posted by Reiny

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