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lisov135 [29]
3 years ago
9

a building that is 20 meters tall casts a shadow that is 5 meters long. at the same time a tree casts a shadow that is 8 meters

long. how tall is the tree?
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

That tree would be a whopping 32 meters tall. Hope this helps

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Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

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\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

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x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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