The figure shows a triangular prism, where ABED, BEFC and ACFD are rectangles with ∠BCA = ∠EFD = 90°.[br]ACFD lies on a horizontal plane. It is given that BD = 13 cm, ∠ABD = 45° and the angle between the line BD and the plane BEFC is 37°.[br](a) Find the angle between the line of greatest slope of the included plane ABED and the horizontal plane ACFD.[br](b) Find the shortest distance between the point F and the line BD.