Soccer Trigonometry

1
Soccer Trigonometry

• Play smart not hard.

2
SAY WHAT?

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

3
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.

4
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.

5
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.

6
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 DE).
• The distance of the goalies advance namely line
  E
• note shooter is positioned such that line C is
  exactly half that of the goal.

7
Answers

• Arc tan(DE)/C angle 1.
• Angle 1 Angle 2
• Tan(2)E/F
• C-FH
• H x 2 A
• Any information may be changed in order to
  achieve desired goals.