Question

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

Answer 1

Answer:

Given that : 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

∘

=

x

20−14

=

x

6

3

1

=

x

6

⇒x=6

3

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

y

2

=6

2

+(6

3

)

2

=144

∴y=12 m