A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 12^{\circ}
∘, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 20^{\circ}∘. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.