Math  /  Geometry

Question3. Football goal posts are measured and found to be 6.7 m apart. A player is to attempt a field goal from a point where the ball is 44 m and 42 m from the ends of the goal posts. Within what angle must the he kick the ball? (4 marks)

Studdy Solution
Calculate the angle C C using the inverse cosine function:
C=cos1(3655.113696) C = \cos^{-1}\left(\frac{3655.11}{3696}\right)
Calculate the angle:
Ccos1(0.989) C \approx \cos^{-1}(0.989) C8.1 C \approx 8.1^\circ
The angle within which the player must kick the ball is approximately:
8.1 \boxed{8.1^\circ}

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