A boat is heading towards a lighthouse, where Deion is watching…

A boat is heading towards a lighthouse, where Deion is watching from a vertical distance of 140 feet above the water. Deion measures an angle of depression to the boat at point AA to be 15^{circ}∘. At some later time, Deion takes another measurement and finds the angle of depression to the boat (now at point BB) to be 51^{circ}∘. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

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