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.
By Pythagoras theorem,
AB2 = OB2 + OA2
(24m)2 = (18m)2 + OA2
OA2 = (576 - 324)m2 = 25 m2
OA2 = `sqrt252 `
Therefore, the distance from the base is `6sqrt7 m`