Two poles of heights 4m and 10m stand on a plane ground.If distance between thier feet is 8m.find the distance between thier top
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Let, BD be the distance between the top of the two poles.
Assume, BD = x meters
As △BED is a right-angled triangle, right angled at E, therefore 'x' is the hypotenuse.
Now apply the Pythagoras theorem on △BED ,
Hypotenuse^2 = Perpendicular^2 + Base^2
⇒ BD^2 = ED^2 + BE^2
⇒ x2 = 122 + 52
⇒ x2 = 144 + 25
⇒ x2 = 169
⇒ x = 13 m
Therefore, the distance between the top of the two poles is 13 m.
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