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Soccer Trigonometry Play smart not hard.

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SAY WHAT? Here is a lesson that blends trig and a key player in a soccer match, the goalie.

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Point number one Students should see very easily from this diagram that in order to block the shot, the goalie (black dot) must move to one side or the other up to the length of the green line A.

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Point number two If the goalie were to advance some distance out of the goal it would decrease that blocking distance to a smaller green line A.

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Lets do trig Given this diagram and some key measurements, students should be able to apply trigonometry concepts to find the new distance A. Answers follow.

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Given Information Given information is left to teachers discretion due to diversity in knowledge level of students. You can give more information is desired. Length of the goal (dark black line) The distance of the shooter from the goal (I.e. line D+E). The distance of the goalie’s advance namely line E note shooter is positioned such that line C is exactly half that of the goal.

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Answers Arc tan[(D+E)/C]= angle 1. Angle 1= Angle 2 Tan(2)=E/F C-F=H H x 2 =A Any information may be changed in order to achieve desired goals.

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