The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of $30^\circ$ with horizontal, then the length of the wire is

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Let h be the length of wire AB. Given that wire makes an angle $\angle$B=$30^\circ$ Now, ,AC=(20-14)cm=6 cm Here, we have to find length of wire. So we use trigonometric ratios. In a triangle,ABC $\Rightarrow$ sin B=(AC)/(AB) $\Rightarrow$ sin $30^\circ$=6/h $\Rightarrow$$\frac{1}{2}$=6/h $\Rightarrow$h=12 [Solution diagram: 63509_solution_1.png]

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