Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than . Find the distance across the lake from A to B. 286 m 459 m C B A 53.4 [Graphs generated by this script: setBorder(0); initPicture(-5,5,-3,4); text([0,-2.5], "286 m"); text([-2,1], "459 m"); text([-4.3,-2.3], "C"); text([1,3.3], "B"); text([4.3,-2.3], "A"); text([2.7,-1.2],"53.4"); stroke = "blue"; strokewidth = "5"; path([[4,-1.8],[3,-1.5],[2,-1.7],[1,-1.8],[0,-1.5],[-0.4,-1],[-0.6,0],[0,1],[1,1.4],[1.1,2.5],[1.3,2.9],[2,2.7],[3,2.2],[3.3,2],[4,1],[4.6,0],[4.7,-0.3],[4.6,-1],[4,-1.8]]); strokewidth = "2"; stroke = "red"; path([[1,3],[-4,-2],[4,-2]]); strokedasharray = "7,3"; line([1,3],[4,-2]); strokedasharray = "1,0"; stroke = "black"; strokewidth = "1"; arc([3.588,-1.314],[3.2,-2],.8); ] NOTE: The triangle is NOT drawn to scale. distance = m where angle CAB= 53.4