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The tops of two poles of heights 40 m and 25 m are connected by a wire. If the wire makes an angle 3 0 o with the horizontal, then the length of the wire is

Options

  1. A30 m
  2. B20 m
  3. C15 m
  4. D25 m

Correct answer

A. 30 m

Step-by-step solution

Let A B = 40 and C D = 25 be the two poles. A C = l is the length of the wire. C E , the horizontal through C ,   ∠ A C E = 30 o A E l = sin ⁡ 30 o = 1 2 ∴ l = 2 A E = 30 m

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