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Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 4 mi directly out in the water from a point B on shore. Point B is 10 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.34 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? X 10 -X 10 Total energy = (Energy rate over water) . (Distance over water) + (Energy rate over land) . (Distance over land . . . Point S is miles away from point A. (Type an integer or decimal rounded to three decimal places as needed.)