Question

two poles of height 9 m and 14 m stand upright on a plane ground if the distance between the feet is 12 m then find the distance between their tops

Answer 1

This is the answer to your question

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Answer 2

Given that two poles of height 9m and 14m are on a same plane and poles can't stand at any angle except 90° , as both the poles have 90° { corresponding angle } both the poles are parallel to each other. Therefore distance between them at any point will be same.



Now,

Length of smaller pole = 9 m
Length of longer pole = 14 m
distance between the poles = 12 m



As poles are at 90° , if we draw a line a perpendicular to one pole it will also a perpendicular to other pole. so draw a line from the upper end of smaller pole at 90° and join that line to the other pole. As the line will be at 90°, distance will be same as it is in ground i.e. 12 m . And the length of remaining longer pole will be ( 14 - 9 ) m = 5 m


Join the tops of poles.




Then by Pythagoras theorem,



( Distance between the poles )² + ( remaining length of the longer pole )² = ( hypotenuse or distance between their tops )²


( 12 m )² + ( 5 m )² = ( distance between their tops )²

144 m² + 25 m² = ( distance between their tops )²

169 m² = ( distance between their tops )²

13 m = distance between their tops




Thus,
$\textbf{Distance between their tops is 13 m}$