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Byju's Answer
Standard IX
Mathematics
Opposite Sides of a Parallelogram Are Equal
A guy-wire at...
Question
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 the wire will be tight?
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Solution
Let
A
B
be the pole and
A
C
be the wire.
By Pythagoras theorem,
A
C
2
=
A
B
2
+
B
C
2
(
24
)
2
=
(
18
)
2
+
(
B
C
)
2
(
B
C
)
2
=
576
−
324
(
B
C
)
2
=
252
B
C
=
6
√
7
m
Therefore, the distance from the base is
6
√
7
m
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Q.
A guy wire attached to a vertical pole of height 18 m is 24 m long has a stake attached to the other end. How far from the base of pole should the stake be driven so that the wire will be taut?