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, then the length of the wire is:
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.
The tops of two poles of height 14 m and 20 m are connected by a wire which makes an angle of 30° with the horizontal. What is the length of the wire?