Answer:
11.06°
Step-by-step explanation:
The law of cosines can be used to find the angle. The sides adjacent to that angle are a=34, b=38, and the side opposite is c=8. Then the angle is found from ...
c² = a² +b² -2ab·cos(C)
cos(C) = (a² +b² -c²)/(2ab)
C = arccos((a² +b² -c²)/(2ab))
C = arccos((34² +38² -8²)/(2·34·38)) = arccos(317/323)
C ≈ 11.06°
From the footballer's viewpoint, the goal posts are 11.06° apart.
X = 5/2 + √7 OR x = 5/2 - √7
Hope this helped!
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