# The tops of two poles of height 16 m and 10 m are connected by a wire of length L metres. If the wire makes an angle of 30° with the horizontal, then L =

A. 26 B. 16 C. 12 D. 10 Answer: Option C
Let AB and CD are two poles AB = 10 m and CD = 16 m AC is wire which makes an angle of 30° with the horizontal Let BD = x, then AE = x CE = CD – ED = CD – AB = 16 – 10 = 6m $\begin{array}{l}\text{Now in }\triangle\text{ACE}\\ \begin{array}{l}\sin30^{\circ}=\frac{\text{CE}}{\text{AC}}=\frac{6}{\text{L}}\\ \Rightarrow\frac{1}{2}=\frac{6}{L}\\ \Rightarrow\text{L}=2\times6=12\mathrm{~m}\end{array}\end{array}$