10. 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?
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AB is the length of the pole = 18 m
AC is the length of the guy wire = 24 m
BC is the distance of the stake from the pole =?
In ΔABC, ∠ABC = 90°
Using Pythagoras theorem,
BC2 = AC2 - AB2
BC2 = 242 - 182
BC2 = 576 - 324
BC2 = 252
BC = 2 × 3√7
BC = 6√7
The distance of the stake from the pole is 6√7 m.
Step-by-step explanation:
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