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The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is
  • a)
    12 m
  • b)
    10 m
  • c)
    8 m
  • d)
    6 m
  • e)
    7 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The tops of two poles of height 20 m and 14 m are connected by a wire....
Let AB and CD be two poles
AB = 20 m, CD = 14 m
A and C are joined by a wire
CE || DB and angle of elevation of A is 30°
Let CE = DB = x and AC = L

Now AE = AB - EB = AB - CD = 20 - 14 = 6 m
Now in right ΔACE,
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