The tops of two poles of height 16 m and 10 m are connected by a

Let AB and CD be the poles such that AB = 16 m and CD = 10 m.

The given information can be represented as

Here, AC is the length of wire which is .

Also, AE = AB − BE = 16 m − 10 m = 6 m

We have to find the length of wire  .

So we use trigonometric ratios.

In triangle ACE,

$\sin C=\frac{A E}{E C}$

$\Rightarrow \sin 30^{\circ}=\frac{6}{l}$

$\Rightarrow \frac{1}{2}=\frac{6}{l}$

$\Rightarrow l=12$

Hence the correct option is $c$.