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.
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06/06/2021 12:07 pm
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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 tops.
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06/06/2021 12:08 pm
Let AB and CD be the poles of height 6m and 11m.
Therefore, CP = 11 – 6 = 5m
From the figure, it can be observed that AP = 12m
By Pythagoras theorem for ΔAPC, we get,
AP^{2} =^{ }PC^{2} + AC^{2}
(12m)^{2} + (5m)^{2} = (AC)^{2}
AC^{2} = (144+25) m^{2} = 169 m^{2}
AC = 13m
Therefore, the distance between their tops is 13 m.
This post was modified 3 years ago by Raavi Tiwari
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