Web Reference: Nov 16, 2022 · Here is a set of practice problems to accompany the Optimization section of the Applications of Derivatives chapter of the notes for Paul Dawkins Calculus I course at Lamar University. We will use trigonometry to do this. Side AX and XB both have length 2, since these are radii of the cir-cle. So b = 2 and a = 2. Therefore, this is an isosceles triangle, and we know that angle ABX is equal to θ, since base angles of isosceles triangles are congruent (i.e. “the same”). What we are trying to maximize is the angle between the two goalpost viewed from the point at which the kick is made ( in the diagram below).
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