text: # Two poles of height 9 m and 14 m stand on a plane ground.
  
  Question:
  
  Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
  
  Solution:
  
  Let us draw the diagram from the given information.
  
  As we are given that distance between their feet is 12 m
  
  $\therefore D C=12$.
  
  Now we get a right angled triangle DCE.
  
  Let us applying the Pythagoras theorem we get,
  
  $D E^{2}=D C^{2}+E C^{2}$
  
  Substituting the values we get,
  
  $D E^{2}=12^{2}+5^{2}$
  
  $D E^{2}=144+25$
  
  $\therefore D E^{2}=169$
  
  Let us take the square root we get,
  
  $\therefore D E=13$
  
  Therefore, distance between their top is 13m.