4. Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between
their feet is 12 m, find the distance between their tops.
I will mark him brainliest who will solve this
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4. Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between
their feet is 12 m, find the distance between their tops.
I will mark him brainliest who will solve this
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From the figure we can observe that ;
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AB = 11 m
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CD = 6m
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BD = 12m
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CD = BE = 6m --- ( i )
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AB = BE + EA
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11m = 6m + AE ( from eq ( i ))
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AE = 11m - 6m
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AE = 5m
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BD = EC = 12 m
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Triangle AEC is an right angle triangle
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By applying Pythagoras theoram :-
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(AC)² = ( AE ) ² + ( EC )²
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(AC)² = 5² + 12²
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(AC)² = 25 + 144
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(AC)² = 169
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AC = √169
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AC = 13
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