Artemis seeks knowledge of the width of Orion's Belt, which is a pattern of stars in the Orion constellation. She has previously discovered the distances from her house to Alnitak (736(736left parenthesis, 736 light years, \text{l. Y.})l. Y.)start text, l, point, y, point, end text, right parenthesis and to Mintaka (915\text{ l. Y.})(915 l. Y.)left parenthesis, 915, start text, space, l, point, y, point, end text, right parenthesis, which are the endpoints of Orion's Belt. She also knows the angle between these stars in the sky is 3^\circ3 ∘ 3, degrees. What is the width of Orion's Belt? That is, what is the distance between Alnitak and Mintaka? Do not round during your calculations. Round your final answer to the nearest light year.