A guy attached a wire 24 m long to a vertical pole of height 18 m 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 tight?
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0
Answer:
Let AB be the pole and AC be the wire.
By Pythagoras theorem,
AC
2
=AB
2
+BC
2
(24)
2
=(18)
2
+(BC)
2
(BC)
2
=576−324
(BC)
2
=252
BC=6
7
m
Therefore, the distance from the base is 6
7
m
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