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A ship is 6000 meters directly South of a lighthouse and is sailing on a bearing of 034 . If the ship continues on this

A ship is 6000 meters directly South of a lighthouse and is sailing on a bearing of 034 °. If the ship continues on this course, what is the closest distance it will come to the lighthouse to the nearest meter? Your work should include a diagram(The shortest distance between a point and a line is along a perpendicular line. )

When the ship is closest to the lighthouse, what is the true bearing of the lighthouse from the ship?

 

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