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According to the figure above, travelling directly from point A to poi

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According to the figure above, travelling directly from point A to poi [#permalink]

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New post 24 Aug 2017, 01:05
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E

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According to the figure above, travelling directly from point A to point B, rather than from point A to point C to point B, would save approximately how many miles?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


[Reveal] Spoiler:
Attachment:
2017-08-24_1251.png
2017-08-24_1251.png [ 7.17 KiB | Viewed 673 times ]
[Reveal] Spoiler: OA

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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 24 Aug 2017, 01:38
10^2+8^2=(AC)^2
AC=sqrt(164) which is little less than 13
total miles saved =(AB+BC)-AC=18 - (little <13)=5.sumthing ~5
IMO E
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According to the figure above, travelling directly from point A to poi [#permalink]

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New post 24 Aug 2017, 01:38
Bunuel wrote:
Image
According to the figure above, travelling directly from point A to point B, rather than from point A to point C to point B, would save approximately how many miles?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


[Reveal] Spoiler:
Attachment:
2017-08-24_1251.png


\(AB = \sqrt{BC^2 + AC^2} = \sqrt{164} = ~13\) (approx)

Approximate miles saved = 10+8-13 = 5

E
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Last edited by Luckisnoexcuse on 07 Sep 2017, 21:25, edited 3 times in total.
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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 24 Aug 2017, 01:39
Given diagram is a right triangle. So side AB^2= 8^2+10^2 = 164

So side AB = root 164 => 12 < root 164 < 13

So if someone travel AB instead of AC+ AB distance saved = 8+10 -AB =18- root 164

Approx = 18-13 = 5

Answer : E
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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 24 Aug 2017, 01:49
Ans - E

AC^2= 10^2+8^2=164
AC=sqrt(164) <13
Total miles through B = AB+BC = 18
difference = 18-13 = approx 5
IMO E
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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 29 Aug 2017, 15:24
Bunuel wrote:
Image
According to the figure above, travelling directly from point A to point B, rather than from point A to point C to point B, would save approximately how many miles?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


We see that triangle ABC is a right triangle. We can use the Pythagorean theorem to determine side AB, which we will denote as x:

10^2 + 8^2 = x^2

100 + 64 = x^2

164 = x^2

√164 = √x^2

√164 = x

Since √169 = 13, we can say x is approximately 13. The longer route is 18 miles, so the distance saved is about 18 - 13 = 5 miles.

Answer: E
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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 07 Sep 2017, 21:18
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The correct answer is Option E.

Bunuel : please change the OA after review.
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Re: According to the figure above, travelling directly from point A to poi [#permalink]

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New post 07 Sep 2017, 21:22
Re: According to the figure above, travelling directly from point A to poi   [#permalink] 07 Sep 2017, 21:22
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