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# Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their top

Q12   Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet
of the poles is 12 m, find the distance between their top

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Let  AB and CD be poles of heights 6 m and 11 m respectively.

CP=11-6=5 m     and    AP= 12 m

In $\triangle$ APC,

By Pythagoras theorem,

$AP^2+PC^2=AC^2$

$\Rightarrow 12^2+5^2=AC^2$

$\Rightarrow 144+25=AC^2$

$\Rightarrow 169=AC^2$

$\Rightarrow AC=13m$

Hence, the distance between the tops of two poles is 13 m.

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