Step 1: According to the given measurements construct an image.

GIVEN: Two poles AD and CE of height 6 m, 11 m respectively.

Distance between the feet of two poles (DC) = 12 m

From the figure: AD = BC = 6 m

AB = DC = 12 m (Since, opposite sides of the rectangles are equal.)

It seems to be right angle triangle ABE

Step 2: Find the height of the right angle triangle

EXPLANATION: BE = CE - BC = 11- 6 = 5 m

Step 3: Use the Pythagoras formula to find the distance between the tops of the poles.

FORMULA: (hypotenuse)^2 = (side)^2 + (side)^2

EXAMPLE: AE^2 = AB^2 + BE^2

AE^2 = (12)^2 + (5)^2

AE^2 = 144 + 25

AE = \sqrt{169}

AE = 13 m

∴ AE = distance between the two tops of the poles = 13 m