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

2 thoughts on “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”

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

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2. Answer:

   correct answer is

   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

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