The center field fence in a ballpark is 10 feet high and 400 feet from home plate. A baseball is hit at a point 3 feet above the ground. It leaves the bat at an angle of (theta) degrees with a horizantal at a speed of 100 miles per hour. x = (v0 cos(theta))t and y = h + (v0 sin(theta))t - 16t^2 The initial velocity is v0 feet per second and the path of the projectile is modeled by the parametric equations. The projectile is launched at a height of "h" feet above the ground at an angle of (theta) with the horizontal. a) write a set of parametric equations for the path of the baseball. b) Use a graphing utility to graph the path of the baseball for theta = 15 degrees. Is the hit a home run? c) Use a graphing utility to graph the path of the baseball for theta = 23 degrees. Is the hit a home run? d) Find the minimum angle required for the hit to be a home run. the only part i'm having trouble with is part d). i don't know how to find the minimum angle required to hit a home run. i already calculated the v0 for this problem to be 146.67 ft/second. so i tried letting x = 400 since that's the distance needed to hit a home run. i got the equation 400 = (146.67 cos(theta))t and i solved for t and substituted back in the equation for y. then i got y = 3 + 400sin(theta) (1/cos(theta)) - 119(1/cos(theta))^2 i then used the formula x = -b / 2a to find max/min for quadratic equations. i got (1/cos(theta)) = -400sin(theta) / -238. i rearranged and i got -238 = -400sin(theta)cos(theta). Then i have -238 = -200sin(2 theta). i divided by -200 and i took the arcsin of both sides. unfortunately i did not get the answer as -238/-200 isn't in the domain of the arcsin function. did i approach the problem the correct way? or is there a different way of doing it? please help.