A telephone pole is supported by two guy wires Each wire is anchored 2 meters from the base of the telephone pole Prove that the two wires are the same length?

Answer 1

IF the wires are both mounted at the same height on the pole, and IF the pole is straight and plumb, and IFthe ground is level between the guy anchors, then the whole structure looks like two right triangles back to back with a common leg. Since the triangles have a common leg (the pole), and the 2nd legs are also equal (the 2 meters to the respective anchors), their hypoteneese (the wires) are also equal. IF the wires are tied to the pole at different heights OR the pole is leaning or bent OR the ground slopes between the anchor points, then you can't say anything about the length of the guys, and you should plan to show up with some extra wire.