Remember, the Law of Sines states that the diameter of the circumscribed circle for a \(\triangle ABC\) equals any side of the triangle divided by the sine of the opposite angle.
Since we know the side \(AB\) has length 120 feet and the angle opposite the side \(AB\) is \(8^\circ\), then the diameter must be \(D=\dfrac{120}{\sin8^\circ}=862.2\) feet.