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can a 6inch by 6inch post be used as a support beam for a 14foot by 14foot build
The question does not make sense. Dimes are a denomination of coins; a foot is a US measurement of length. Please rephrase it and post a new question.
You need 1962.5 fence posts.
It works out as 30 feet in height
The ratio of the shadow cast to the height of an object will be the same at the same time of day. For the fence post, the height of the post is 2.5 times the length of the shadow ( 5 ft / 2 ft = 2.5 ) The tree has a 10 foot shadow, so using the same ratio for the fence post: 10 ft * 2.5 = 25 feet. The tree is 25 feet tall