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A soccer ball is placed 12 ft away from a goal post that measures 8ft high. You kick the ball and it hits the crossbar at the top of the goal. What was the angle of elevation of your kick?

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  1. tanθ = 8/12

    roughly. θ actually needs to be slightly more, because the ball falls some due to gravity. But, a little investigation should convince you that the discrepancy caused by gravity can be eliminated because of the ball's diameter, given proper conditions.

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