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In the triangular plot of land below, Farmer Bill is standing at point A.

What is the minimum distance Farmer Bill has to walk to go from point A to a point on $ \overline{BC} $?

$\text{120 meters}$

$\text{160 meters}$

$\text{200 meters}$

$\text{320 meters}$

$\text{360 meters}$