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A boat is heading towards a lighthouse, where Dalvin is watching from a vertical distance of 138 feet above the water. Dalvin measures an angle of depression to the boat at point AA to be 13degrees ∘ . At some later time, Dalvin takes another measurement and finds the angle of depression to the boat (now at point BB) to be 45degrees ∘ . Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.