What will be the Distance? If

Two poles of heights 9 metres and 17 metre stand on a plane ground, If the distance between their feet is 15 m, then the distance between their tops is:

  1. 16 metre
  2. 17 metre
  3. 18 metre
  4. None of these
Monis Rasool Professor Asked on 26th May 2015 in Maths.
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1 Answer(s)

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Answer: (b) 17 m.
Explanation:-
Height of two poles = 9 m and 17 m
the distance between their feet = 15 m

In figure-  

RE: What will be the Distance? If


CDE is a right angle triangle
Therefore, CD = base, CE = perpendicular and DE = hypotenuse
(EC)2 = (CD)2 + (DE)2                      ( by Pythagoras theorem)
EC = ?, CD = 15m, DE = 8m
(EC)2 = 152 + 82
(EC)2 = 225 +64
(EC)2 = 289                          (square root of both side)
EC = 17m
Hence, the distance between their tops is 17 m.

Anurag Mishra Professor Answered on 28th May 2015.
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