Question

there are two poles of the height 18 and 12m a steel wire tied on the top of the pole if the wire make an angle 30 with the horizontal line find the length of wire​

Answer 1

AD=12m

Step-by-step explanation:

AB=18m

CD=12

length of wire AD

AE=AB-BE

18-12=6

∆AED=90

∆ADE=30

sin 30 ae/ad

1/2=6/ad

ad=6*2=12

Answer 2

The tops of two poles of heights 18 metres and 12 metres are connected by a rope.

The rope makes an angle 30° with the horizontal.

to find : the length of the rope in metres is

According to the problem given ,

Height of the first pole = AB = 18 m

Height of the second pole = CD = 12 m

Length of the wire =AD

$AE = AB − BE</p><p></p><p> \\ = AB − CD</p><p></p><p> \\ = 18 − 12</p><p></p><p> \\ AE = 6m$

In ∆AED,

$∠AED=90°, \\ </p><p></p><p>∠ADE=30° ( given ) \\ </p><p></p><p>sin30°= AE/AD \\ </p><p></p><p>1/2 = 6/ AD \\ </p><p></p><p>AD=6×2 \\ </p><p></p><p>AD=12 m$

Therefore ,

Length of the wire = AD = 12m