Question

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

(a) 26

(b) 16

(c) 12

(d) 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 _.

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

We have to find the length of wire .

So we use trigonometric ratios.

In triangle ACE,

Hence the correct option is .