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Two poles of height 9 m and 14 m stand on a plane ground.

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asked Feb 13, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 448 ● 1266
recategorized Mar 6, 2018 by faiz

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

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answered Feb 13, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 22
selected Feb 13, 2018 by sforrest072
 
Best answer

We have,
AC = 14 m, DC = 12m and ED = BC = 9m
Construction: Draw EB ⊥ AC
∴ AB = AC – BC = 14 – 9 = 5m
And, EB = DC = 12 m
In ΔABE, by Pythagoras theorem,

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