Two poles of height 20 and 14 meters are joined at the top by a wire which makes an angle of 30° with the horizontal. The length of the wire is:

Correct option is A

Given:

Height of one pole = 20 m 

Height of another pole = 14 m 

Angle made by the top of the poles with the horizontal = 30° 

Formula Used:

$$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$$​​
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Solution:

In triangle ALD, AL/AD = sin 30° 

 6/AD = 1/2 

 AD = 12 m 

 The length of the wire is 12 m.