A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 67°. A guy wire is to be attached to the top of the tower and to the ground, 118 yd downhill from the base of the tower. The angle formed by the guy wire is 6°. Find the length of the cable required for the guy wire. [Graphs generated by this script: setBorder(0); initPicture(0,8,0,7); text([3.7,2.4],"6°"); text([4.45,1.55],"118 yd"); text([2.8,0.9],"67°"); stroke="green"; strokewidth="5"; path([[0,0.5],[1.5,0.5],[5,2.923],[6,2],[6.5,1],[7,0.5],[8,0.5]]); stroke="gray"; strokewidth="2"; path([[4.4,2.508],[4.55,6.5],[4.7,2.715]]); stroke="red"; strokewidth="2"; strokedasharray="5,2"; line([4.5,6.5],[3,1.538]); stroke="black"; strokewidth="1"; strokedasharray="10,3"; line([1.5,0.5],[6.5,0.5]); strokedasharray="1,0"; line([3.206,1.241],[4.756,2.300]); line([4.606,2.530],[4.906,2.097]); line([3.056,1.457],[3.356,1.024]); arc([2.3,.5],[2.158,0.955],.7); arc([3.534,1.908],[3.188,2.160],0.65); ] NOTE: The picture is NOT drawn to scale.

length of guy-wire = yd

Enter your answer as a number; your answer should be accurate to 2 decimal places.