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Posted
What tree??? :)

 

There is no tree. It is you who bends in the wind. [/matrixism]

 

 

I'm assuming it was supposed to be "building" as opposed to "tree" but it was changed at the last minute.

Posted
@DaveP - do you know the answer and are wondering if we can get it as it's a clever question, or do you want the answer?..

 

No I don't know the answer [as it stands I don't think it can be answered] It made me laugh when I saw it and I thought it was worth sharing. :D

Posted
No. You didn't show how you worked it out. :D

 

At the time the measurement was done the man's shadow was 2/3 of his height...or put another way his height is 3/2 times his shadow length...

 

therefore the building height is 3/2 times it's shadow length...

Posted
Okay, the man's shadow is 2/3 his height so the buildings shadow is 2/3 54ft, 36ft. Since the tree must be behind the building which is thus obscuring its shadow, the tree must be less than 36ft tall?
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Posted (edited)
At the time the measurement was done the man's shadow was 2/3 of his height...or put another way his height is 3/2 times his shadow length...

 

therefore the building height is 3/2 times it's shadow length...

 

We'd need to know the angle of the Sun to figure out the ratio of height-to-shadow

 

[ATTACH=CONFIG]17357[/ATTACH]

:D

 

edit: I suppose if we get really pedantic.. Nobody said they were the same light source, either ;D

[ATTACH=CONFIG]17358[/ATTACH]

Edited by Garacesh
Posted
We'd need to know the angle of the Sun to figure out the ratio of height-to-shadow

 

[ATTACH=CONFIG]17357[/ATTACH]

:D

 

edit: I suppose if we get really pedantic.. Nobody said they were the same light source, either ;D

[ATTACH=CONFIG]17358[/ATTACH]

 

No, we can calculate the ratio from the height of the man and his shadow length...

 

Given how far away the sun is I don't think the angle of the sun would be appreciably different for man or building...

 

...but I still can find a tree :)

Posted

If the sun is 'low' in the sky but still 'high' enough to be 'above' the person (since there are all relative terms in the sun doesn't move), then the man's shadow would be shorter, but the height of a building would be longer (as the sun would be 'lower' than the top of the building

 

I think. I'm not putting too much thought into it :D

 

The tree is obviously inside the atrium of the building.

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