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It works out as 30 feet in height

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Q: A tree cast a 24-foot shadow at the same time a fence post 5 feet high cast a 4-foot shadow how tall is the tree?
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Thomas happened to notice that like at 4 oclock pm on his unlces 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?

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


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?

25 ft


Thomas happened to notice that at 4 PM on his uncle's farm a fence post that was 5 feet tall cast a 3 foot shadow He also noticed that a nearby tree cast a 12 foot shadow How tall is the tree?

The tree was 20 feet tall.


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Thomas happened to notice that at 400 PM on his uncle's farm a fence post that was 5 feet tall cast a 3 foot shadow He also noticed that a nearby tree cast a 12 foot shadow How tall is the tree?

I think this question is about similar shapes. To answer this divide the height of the tree, 5ft, by the shadow cast by it, 3 ft. This will give you the scale factor. To then find the answer, times the scale factor by the shawdow cast by the nearby tree, and will find your answer in ft. Hope this helped.


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