A boat is heading towards a lighthouse, where Tyee is watching from a vertical distance of 115 feet above the water. Tyee measures an angle of depression to the boat at point AA to be 15^{\circ} ∘ . At some later time, Tyee takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.