(See Steps) Kicking a field goal An American football player wants to kick a field goal with the ball being on a right hash mark. Assume that the goal posts


Question: Kicking a field goal An American football player wants to kick a field goal with the ball being on a right hash mark. Assume that the goal posts are \(h\) feet apart and that the hash mark line is a distance \(a>0\) feet from the right goal post. (See the accompanying figure.) Find the distance \(h\) from the goal post line that gives the kicker his largest angle \(\beta\). Assume that the football field is flat.

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