Q8 of 168 Page 4

Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

8.jpg


We have,


AC=14m, DC=12m, ED=BC=9m


Draw EB ⊥ AC


∴ AB=AC-BC


AB= 14-9=5m


EB=DC=12m


In ABE


AE2=AB2+BE2


AE2=52+122


AE2=25+144


AE2=169


AE=


AE=13m


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