The engineer estimates 400 feet between points A and B on one side of the long lake. From point A she finds that the line-of-sight to point C, large tree on other side of lake, creates the angle of 83.4 degrees with line AB. From point B, when she sights on same tree at point C, angle between BC and BA is 87.2 degrees. Then how far is point C from point A, correct to nearest whole foot?