A man has to design a triangular running course 2000m long.The first leg is from the corner of a house to a post 650 m away on a bearing of 055 degrees.The second leg is from the post to a cone. The cone is 570m from the post on a bearing of 150 degrees. The third leg is from the cone back to the ocren of the house. Students will run around the course once.(a) Calculate the distance they will run(b) Will this course need to be shortened or lengthened to ensure it's 2000m? Show your reasoning.(c) They decide to move the cone to a point 602m from the post. What bearing will the cone have from the post to ensure that the course remains 2000m long?Am I sposed to use cos C = a'2 + b'2 -c'2 divided by 2ab for this? or is it to do with A = 1/2 r'2-0
