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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Answered by
4
Let AC be the wire and AB be the height of the pole.
AC = 24 cm
AB = 18 cm
According to Pythagoras theorem,
AC2 = AB2+BC2
242 = 182+BC2
576 = 324+BC2
BC2 = 576-324
BC2 = 252
Taking square root on both sides,
BC = √252
= √(4×9×7)
= 2×3√7
= 6√7 cm
Hence the distance is 6√7 cm.
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