Question

The tops of two poles of heights 20 m and 14 m are connected by a wire if the wire makes an angle of ${30}^{\circ }$ with the horizontal then the length of the wire is

• A. 40 m
• B. 12 m
• C. 28 m
• D. 68 m

Answer 1

The correct option is B 12 m

Let the two poles are $A$ and $E$ connected by wire $AE$

Then the length of the wire

$\sin {30}^{\circ }=\frac{AB}{AE}$

$\because \sin {30}^{\circ }=\frac{1}{2}$

$\frac{1}{2}=\frac{6}{AE}$

$AE=6\times 12$

$AE=12m$