Question

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

Options

• 12 m

• 10 m

•  8 m

• 6 m

Answer 1

Let h be the length of wire AB_.

Given that wire makes an angle  `∠B=30°`

Now, ,`AC=(20-14)cm=6 cm`

Here, we have to find length of wire.

So we use trigonometric ratios.

In a triangle,ABC

`⇒ sin B=(AC)/(AB)`

`⇒ sin 30°=6/h`

`⇒1/2=6/h`

`⇒h=12`