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 tops.
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 m)2 + (5m)2 = (AC)2
AC2 = (144 + 25)m2 = 169 m2
AC = 13m
Therefore, the distance between their tops is 13 m.
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