Shown in the figure are a mast and a portion of the rigging of a schooner. Members CD and EF lie in the same plane. Member CD is of length 7.5 m and forms an angle of 45º with a vertical line drawn through C. Knowing that when θ =15º the tension in rope AB is 230 N, determine a. The angle between ropes AB and BD, b. The projection on BD of the force exerted by rope AB at point B.