A plane flying at an altitude of $6500\ feet$ spots the top of a $150\ foot$ tall lighthouse at an angle depression of $39°$. At the same moment and at the same line of sight, the plane also spots a raft in the ocean at an angle of depression of $72°$.

How far, to the nearest foot, is the raft from the lighthouse?

Assume the lighthouse is perpendicular to the water and that the raft and base of the lighthouse are on a horizontal.

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