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Answer:
13 m.
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Solution
Given :-
- Height of two poles 6 m and 11m
- Distance between their feet 12m
Find :-
- Distance between their top
Explanation
Let,
AB is first pole & CD is second pole there height be 6m & 11m ,
and,
Distance between BD is 12m ,
So,Now we ,
Drop a line AC and a other line AE in CD , parallel to BD.
So, by figure ,
- BD = AE = 12m
- AB = ED = 6m
And,
- CE = CD - ED
==> CE = 11 - 6 = 5 m
So we take a right ∆AEC,
Where,
- Hypotenuse = AC = ?
- Base = AE = 12m
- Perpendicular = CE = 5 m
Using Pythagoras's Theorem ,
★ (Hypotenuse)² = (Base)² + (perpendicular)²
==> AC² = 12² + 5²
==> AC² = 144 + 25
==> AC² = 169
==> AC = √169
==> AC = 13
Hence
- Distance between their top of pole will be AC = 13 m
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