How does a lightning rod work?

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    Lightning Rod Work
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Rosadoft
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Greetings community

An engineer came to me seeking help today. He asked me to determining the height of a lightning rod If the radius of the protection zone was given.

Assuming the roof of the building is completely flat, what would the height (h = ?) have to be for a given radius of 75 meters (r = 75m)?
 
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Thank you! very helpful!