Two poles of height 15m and 20m stand vertically upright on a plane ground . If the distance between their feet is 12 m ,find the distance between their tops
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Answer:13m
Step-by-step explanation:
Let AB=15m &CD=20m be the two poles lying on a plane ground with separation distance=12 m between them.
Draw a line AE parallel to BC on CD.
Therefore AE=BC=12 m
Now CD=CE+ED=20m
Or,15+ED=20m
Therefore ED=5m
Now in triangle AED,AD^2=AE^2+ED^2
AD^2=12^2+5^2
Therefore AD=√169=13m
This is the required distance between their tops
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