Question

the tops of two poles of heights 18m and 12m are connected by are connected by a wire. if the wire makes an angle 30 with horizontal, then the length of wire____​

Answer 1

Answer:

12 m

Step By Step Explanation:

Given:

First Pole's Height = AB = 18 m

Second Pole's Height = CD = 12 m

Length of the wire = AD

From The Condition:

AE = AB - BE
⇒ AB - CD
⇒ 18 - 12
⇒ 6 m

Hence, Length Of AE is 6 m.

Now,
In ∆ AED ,

∠ AED = 90° ,

∠ ADE = 30° [ Given ]

We have,
Sin 30° = AE/AD

⇒ 1/2 = 6/AD

⇒ AD = 6 × 2

⇒ AD = 12 m

Hence, The Required length of the wire is 12 m.