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​

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

  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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