Homing pigeons avoid ying over water. Suppose a homing pigeon is released on an island at point C, which is 14 mi directly out in the water from a point B on shore. Point B is 30 mi downshore from the pigeon's home loft at point A. Assume that a pigeon ying over water uses energy at a rate 1.28 times the rate over land. Toward what ' point 8 downshore from A should the pigeon y in order to minimize the total energy required to get to the home loft at B I x i s I I A A? 30 - x o----' 30 Total energy = (Energy rate over water) - (Distance over water) + (Energy rate over land) - (Distance over land) W Point 8 is '1 miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.)