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Two poles of height 7 metre and 12 metre stand on a plane ground. If the distance between their feet is 12 metre, the distance between their top will be
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- 15 metre
- 13 metre
- 19 metre
- 17 metre
- 15 metre
Correct Option: B
As per the given in question , we draw a figure
Given that , AB = 7 metre , CD = 12 metre
∴ CE = CD – DE
CE = 12 – 7 = 5 metre
∴ From ∆ AEC,
AC = √AE² + EC²
AC = √12² + 5² = √144 + 25
AC = √169 = 13 metre