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Q: When a tree cast a 20 foot shadow a man 6 feet tall casts a 3 foot shadow how tall is the tree?

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To cast a 19 foot shadow the building would have to be 26.91 feet tall. Each foot of building/tree casts 8.47 inches of shadow.

Using trigonometry its height is 12 feet

27.3 feet

17.45 feet.

A 1 foot shadow I think.

2

10.'384615' (recurring decimals) feet

15 feet high

63 feet

Answer is 14 feet

We can solve this problem using a ratio. Since a 6 foot man casts a 4 foot shadow we can write this ratio as 6:4. If we reduce this ratio we get 3:2. Now we're stating that for every 3 feet of height, the shadow cast will be 2 feet.Now we can work our problem out using a small table:3 feet of flag pole = 2 feet of shadow6 feet of flag pole = 4 feet of shadow9 feet of flag pole = 6 feet of shadow12 feet of flag pole = 8 feet of shadow15 feet of flag pole = 10 feet of shadow18 feet of flag pole = 12 feet of shadowTherefore an 18 foot flag pole will cast a 12 foot shadow at the same time that a 6 foot man casts a 4 foot shadow.

It works out as 3.75 feet

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