Question

3. The top of two poles of height 20 m and
14 m are connected by a wire. If the wire
makes an angle of 30° with the horizontal,
then the length of the wire is​

Answer 1

Answer:

12m

Step-by-step explanation:

√√√√√√√√√√√√√√√√√√√√√√√

Answer 2

Given data:

Heights of two poles are 20 and 14m respectively.

Angle wire makes with horizontal =30

∘

Let distance between two poles be x and length of wire be y

tan30∘ = 20−14/x

=6/x

1/√3 = 6/x

⇒x=6 √3

As length of the wire will form the hypotenuse of right angled triangle thus formed,

y raised power 2 = 6 raised power 2 + (6√3) raised power 2 = 144

∴y=12 m