Question

The top of two poles of height's 20m and 14m are connected by the wire

if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m
​

Answer 1

The correct option is;

10 m

Explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

`tan(30 ^(\circ)) = (h)/(D) = (6)/(D)`

Which gives;

`D = (6)/(tan(30 ^(\circ)) ) = 10.39 \ m\approx 10 \ m`

The correct option is 10 m.