Question

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

Options

• 26

• 16

• 12

• 10 

Answer 1

Let AB and CD be the poles such that AB = 16 m and CD = 10 m.

The given information can be represented as

Here, AC is the length of wire which is l_.

Also, AE = AB − BE = 16 m − 10 m = 6 m

We have to find the length of wire l .

So we use trigonometric ratios.

In triangle ACE,

`sin C= (AE)/(EC)` 

`⇒ sin 30°=6/l`

`⇒1/2=6/l`

`⇒ l=12`