A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

Let OB be the pole and AB be the wire.


AB2 =OB2+OA2


242=182+OA2


OA2=576-324


OA2=252


AO=


AO=6√7 m.


Distance from base=6√7 m


26