The tops of two poles of height 20m and 14m are connected by a wire. If the wire makes an angle of 30 degree with horizontal, the length of wire =
In triangle ABC,
BC = y = 20-14 = 6m; AC = x
⇒ tan30∘= yx
⇒ 1√3 = 6x
⇒ x = 6√3
Now, the length of rope AB is given by:
AC2 + BC2 = AB2
⇒AB = 12m
Thus, the length of the string is 12m.