Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m then the distance between their tops is ______.

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Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their feet is 12 m then the distance between their tops is 13 m. Explanation: Let the poles be AB = 6 m and CD = 11 m with feet A and C 12 m apart. Draw BE || AC so CE = AB = 6 m and BE = AC = 12 m. Then DE = CD – CE = 11 – 6 = 5 m In right triangle BED, BD = sqrt(BE^2 + DE^2) = sqrt(12^2 + 5^2) = sqrt(169) = 13 m

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