Q24 of 32 Page 6

Two poles of heights 6 m and 11 m stand on aplane ground. If the distance between the feetof the poles is 12 m, find the distance between their tops. (CBSE 2002)

Let CD and AB be the poles of height 11 m and 6 m

Therefore, CP = 11 - 6 = 5 m


From the figure, it can be observed that AP = 12m


Applying Pythagoras theorem for ΔAPC, we obtain



AP2 + PC2 = AC2


(12)2 + (5)2 = AC2


AC2 = (144 + 25)


AC2 = 169


AC = 13 m


Therefore, the distance between their tops is 13 m

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