# The tops of two poles of height 20m and 14m are connected by a wire if the wire makes an angle of 30⁰ with origin till then the le

The tops of two poles of height 20m and 14m are connected by a wire if the wire makes an angle of 30⁰ with origin till then the length of the wire is​

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1. Given : The tops of two poles of height 20m and 14m are connected by a wire. The wire makes an angle of 30 degrees with horizontal

To find:   the length of the wire

### Solution:

Height of one  pole = 20 m

Height of another pole = 14 m

Height of bigger pole above the top of Smaller pole = 20 – 14  = 6 m

Let sat length of the wire =   L m

the wire makes an angle of 30 degrees with horizontal,

=> Sin 30°  = 6 /L

=> 1/2 = 6/L

=> L = 12

Length of Wire = 12 m

Step-by-step explanation:

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∘=x20−14=x6

31=x6

⇒x=63

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

y2=62+(63)2=144

∴y=12 m