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The parametric equations for the path of a projectile launched at a height h feet above the ground, at an angle with the horizontal and having an initial velocity of
feet per second is given by
and
. The center field fence in a ballpark is
feet high and
feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of
degrees with the horizontal at a speed of 100 miles per hour as shown in the figure. Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations
and
. Round your answer to one decimal place.
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