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# Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west

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Joined: 02 Sep 2009
Posts: 58464
Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west  [#permalink]

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23 Aug 2018, 03:43
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Difficulty:

15% (low)

Question Stats:

85% (01:27) correct 15% (01:50) wrong based on 24 sessions

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Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west of Steve, then which of the following is the shortest distance from Lindsey's house to Steve house?

A. 17 miles
B. 25 miles
C. 27 miles
D. 31 miles
E. 168 miles

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Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west  [#permalink]

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23 Aug 2018, 04:54
Bunuel wrote:
Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west of Steve, then which of the following is the shortest distance from Lindsey's house to Steve house?

A. 17 miles
B. 25 miles
C. 27 miles
D. 31 miles
E. 168 miles

lindsey

7

Lee ---------- 24 --------- steve

shortest = root $$24^2$$ + $$7^2$$= 25
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Re: Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west  [#permalink]

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23 Aug 2018, 07:09
Bunuel wrote:
Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west of Steve, then which of the following is the shortest distance from Lindsey's house to Steve house?

A. 17 miles
B. 25 miles
C. 27 miles
D. 31 miles
E. 168 miles
Attachment:

Untitled.jpg [ 14.73 KiB | Viewed 502 times ]

Shortest Possible distance from Lindsey's house to Steve house = $$\sqrt{7^2 + 24^2}$$

Or, Shortest Possible distance from Lindsey's house to Steve house = $$\sqrt{625}$$ = 25 Miles, Thus answer must be (B)
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Re: Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west  [#permalink]

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26 Aug 2018, 19:21
Bunuel wrote:
Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west of Steve, then which of the following is the shortest distance from Lindsey's house to Steve house?

A. 17 miles
B. 25 miles
C. 27 miles
D. 31 miles
E. 168 miles

We can use the Pythagorean theorem to solve this problem:

7^2 + 24^2 = x^2

49 + 576 = x^2

625 = x^2

x = √625 = 25

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Re: Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west   [#permalink] 26 Aug 2018, 19:21
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# Lindsey lives 7 miles due north of Lee and Lee lives 24 miles due west

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