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Two poles of heights 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
  • a)
    11 m
  • b)
    12 m
  • c)
    13 m
  • d)
    14 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two poles of heights 6 m and 11 m stand vertically upright on a plane ...

Given that ther are two poles
AE = 11 m and, CD = 6 m
∴ BE = 6 m
[∵CD = BE]
∴ AB = AE – BE = 11 – 6 = 5m
distance between their feet
ED = 12 m
∴ BC = 12 m [∵ED = BC] Now, AC = ?
In ΔABC,
From Pythagorus theorum,
AC2 = AB2 + BC2
AC2 = 52 + 122
AC2 = 25 + 144 = 169
AC = √169
AC = 13
Hence, option C is correct.
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