Let D, E, and F respectively be the feet of the altitudes from A, B, and C of acute triangle \triangle ABC such that AF = 28, FB = 35, and BD = 45. Let P be the point on segment BE such that AP = 42. Find the length of CP.
Let D, E, and F respectively be the feet of the altitudes from A, B, and C of acute triangle \triangle ABC such that AF = 28, FB = 35, and BD = 45. Let P be the point on segment BE such that AP = 42. Find the length of CP.