Long shadows are cast at sunset when the sun is at its lowest.
The times of sunset (and sunrise) are readily available and may often be found in diaries.
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56.25 feet
late afternoon (sunset)
There are two factors involved in casting a shadow: the height of the object and the direction (angle) of the light source. Generally, problems like this include the time of day or the angle of the sun or a comparison to some other object. As written, it is not possible to answer this question unequivocally.
84 feet tall
That all depends upon what time of day the shadow was cast. For example, at straight up noon, even a very tall building wouldn't cast much of a shadow, but at sunrise or sunset, even a tiny building might cast an 18 foot long shadow, or even longer.