Question

the top of two poles of height 25m and 35m are connected by a wire which makes an angle of elevation of 30°at top of 25m pole. find the length of the wire

Answer 1

Answer:

The angles are 30:60: 90

= 1:2:3

angles are 1:2:3, the opposite sides will be 1: v3:2

ie- 10:10v3:20

here length of the wire will be 20m

Answer 2

Answer:

20 m.

Step-by-step explanation:

See the diagram attached.

Let AC and BD are the poles with height 25 m and 35 m respectively.

Draw a horizontal line from point C to the line BD, and it meets BD at E (say).

Hence, DE = (35-25) =10m.

Now, Triangle CED is a right-angled triangle where ∠C=30°(Given)

So, Sin 30°= DE/CD, ⇒1/2 =10/CD, ⇒CD= 20 m .

Therefore, a 20 m length of wire will be required. (Answer)