Sketching a Hyperbola In Exercises 19-32, find the center, vertices, foci, and the equations of the asymptotes of the hyperbola.
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Use inverse cosine here because you have the side adjacent to angle A and the hypotenuse. On your calculator, press the 2nd key then cosine to see this on your display 
then enter 8/17 to give you an angle measure of 62 degrees.