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ddd [48]
3 years ago
7

Helpppppppppppppppppppppppp i need an answer

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
All you have to do is just put a number for x...so for the first one you could do x=8, because 8 is less that 9. For the second one you could do x= 10, because 10 is greater than 6
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Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
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Answer:

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Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

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<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

  L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

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