Answer:
about 10.5°
Explanation:
You want to know the angle a 2-m wide hockey net subtends from a point 9 m from one goal post and 10 m from the other.
Angle
Since we know all three sides of the triangle in this geometry, we can find the desired angle using the law of cosines:
c² = a² +b² -2ab·cos(C)
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((9² +10² -2²)/(2·9·10)) = arccos(59/60)
C ≈ 10.475°
The player must make the shot within an angle of about 10.5°.
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