The tops of two poles of height 20 m and
14 m are connected by a wire. If the wire
makes an angle of 30° with horizontal,
then the length of the wire
is
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ANSWER
Given that : Heights of two poles are 20 and 14m respectively.
Angle wire makes with horizontal =30
∘
Let distance between two poles be x and length of wire be y
tan30
∘
=
x
20−14
=
x
6
3
1
=
x
6
⇒x=6
3
As length of the wire will form the hypotenuse of right angled triangle thus formed,
y
2
=6
2
+(6
3
)
2
=144
∴y=12 m
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