The correct answer is A) double-pole, double-throw switch. A double-pole, double-throw (DPDT) switch is the type of device shown in the illustration EL-0058. This type of switch has two sets of contacts that can be switched between two different positions, allowing it to control two separate circuits or functions simultaneously. The other answer choices are incorrect because a double-pole, single-throw switch (B) only has one set of contacts, a single-pole, single-throw switch (C) has only one contact set, and a single-pole, double-throw switch (D) only controls a single circuit. The illustration clearly depicts a DPDT switch, which is the correct answer.