The tops of two poles of height 16 m and 10 m are connected by a wire. If the wire makes an angle
of 60° with the horizontal, then the length of the wire is
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Step-by-step explanation:Since there are two poles , draw a diagram with one pole larger than the other and connect the 10 m long pole to the 16 m long pole .
then ,
sin 60 = length of larger pole - length of shorter pole / length of wire
root 3 / 2 = 16 - 10 / length of wire
length of wire = 6 x 2 / root 3
length of wire = 12 / root 3
length of wire = 12 root 3 / 3 ( rationalizing the denominator )
Therefore , length of wire = 4 root 3
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