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25 feet tall

This is in effect asking about similar triangles, the bases of which are the shadows and the (perpendicular) heights are the heights of the objects. Therefore, using the ratio of the two triangles (calculated from the "shadow" sides) the height of the tree can be determined.

The ratio of the shadows of the post to tree is:

2ft : 10ft = 1:5

So the height of the tree is five times the height of the post. Thus:

Height_of_tree = 5 x 5ft

= 25 ft

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Q: Thomas happened to notice that 4 oclock pm on his uncles farm a fence post that was 5 ft tall cast a 2 foot shadow he also noticed that a nearby tree cast a 10 foot shadow how tall is the tree?
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Thomas happened to notice that at 4PM on his uncles farm a fence post that was 5 feet tall cast a 2 foot shadow He also noticed that a nearby tree cast a 10 foot shadow How tall is the tree?

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