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# A runningback is 4 feet to the left of the quarterback and facing the

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Math Expert
Joined: 02 Sep 2009
Posts: 56256
A runningback is 4 feet to the left of the quarterback and facing the  [#permalink]

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18 Sep 2018, 21:55
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Difficulty:

45% (medium)

Question Stats:

33% (01:44) correct 67% (02:46) wrong based on 13 sessions

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A runningback is 4 feet to the left of the quarterback and facing the same direction. If the runningback runs 8 yards forward then 6 yards 2 feet to the left before he catches the ball thrown from the quarterback, approximately how many yards did the quarterback throw the ball?

A. 10
B. 11.3
C. 13.6
D. 24
E. 33.6

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Joined: 07 Dec 2017
Posts: 1074
Re: A runningback is 4 feet to the left of the quarterback and facing the  [#permalink]

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19 Sep 2018, 01:17
Bunuel wrote:
A runningback is 4 feet to the left of the quarterback and facing the same direction. If the runningback runs 8 yards forward then 6 yards 2 feet to the left before he catches the ball thrown from the quarterback, approximately how many yards did the quarterback throw the ball?

A. 10
B. 11.3
C. 13.6
D. 24
E. 33.6

As the calculation we're asked to do is relatively straightforward, we'll just do it.
This is a Precise approach.

Since the runningback finished 8 yards in front of the quarterback and 6 yards, 2 feet + the 4 initial feet to the left of the quarterback, the total distance the ball traveled is the hypotenuse of a triangle with sides of 8 yards and 6 yards, 6 feet. Since 1 yard = 3 foot 6 yards, 6 feet = 8 yards. Then the total distance is sqrt(8^2 + 8^2) = sqrt(2)*8 = about 1.4*8 = about 11.2

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Re: A runningback is 4 feet to the left of the quarterback and facing the   [#permalink] 19 Sep 2018, 01:17
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