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# MATH

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During the rainy season the water level in a certain lake rises. A road already exists
through the school that goes over a circular lake. The local government wants to build
another road through the school that connects to this road but not go through the
lake.  The city engineer can measure the road that already exists, and he finds that the
bridge portion of the road is 5 kilometers, and the portion of the road from the bridge to
where the new road will be is 4 km. How long the road will be constructed. ( Hint : Use
tangent line ).

Dec 4, 2021

#1
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I expect there is supposed to be a pic with this question.

Dec 4, 2021
#2
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To Melody:
Unfortunately, there is no picture given:<

Guest Dec 4, 2021
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ok but without a pic it really does not make sense, not to me anyway.

Melody  Dec 4, 2021
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Solution:

After using a babble translator with an ambiguity filter setting of 0.6

and applying novacula Occami: lex parsimoniae (Ocham's razor: law of parsimony)

I find that ...

...This is solvable by using the Secant-Tangent Product Theorem

(Total secant segment length)*(external secant segment length) = (length of tangent segment)2

Bridge portion of the road (circle portion secant length) = 5 km

Road from the bridge to where the new road will be (external portion of secant length) = 4 km

Sum of above lengths (extended secant length) = 9 km

External portion times extended length = (4*9) =36 (Square of Tangent length)

Tangent length = sqrt(36)=  6 km (How long the road will be constructed)

GA

--. .-

GingerAle  Dec 4, 2021
edited by GingerAle  Dec 5, 2021
#5
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idk Ginger.

It all looks good but I m not sure you used the right ambiguity setting.

If you miscalculated that then your whole answer is in dire jeopardy

Melody  Dec 4, 2021
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I know what you mean ...

When I set the ambiguity filter to 0.5, the question changed to: How do you thin out the population of an overcrowded school?

Solution: Put a road through the school. The slowest students and those who do not pay attention will be the first to go.

(It’s easy to misapply Occam’s Razor)

GA

--. .-

GingerAle  Dec 5, 2021
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Ja, ich verstehe

Melody  Dec 5, 2021