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13 m
Step-by-step explanation:
I am writing pole instead of building.
Using a little bit of geometry, draw a line from the top smaller pole, perpendicular to(on) other pole.
Now, you can clearly observe a right angle triangle.
height = 34m - 29m = 5 m
base = 12 m
Using Pythagoras theorem,
hypotenuse^2 = 5^2 + 12^2
hypotenuse = √169 = 13
Hence, distance between their tops(which was the length of hypotenuse in our triangle) is 13 m.
Sum of two sides is always greater than third side. Using this, if 3rd side is x.
=> x + 20 > 25
=> x > 5
As well as,
=> 25 + 20 > x
=> 45 > x
Implies, x lies between 5 and 45.
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