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The tops of two poles of heights 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 ____________. -

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Question

The tops of two poles of heights 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 ____________.

Options

  • 8 m

  • 10 m

  • 12 m

  • 14 m

MCQ
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Solution

The tops of two poles of heights 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 12 m.

Explanation:

`"AE"/"AC" = "sin"  30^circ`

`=> 6/"AC" = 1/2`

`=> "AC" = 12  "m"`

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