During a medieval battle, a catapult placed on a summit throws a tarball at an angle of 27.5◦above the horizontal direction. The tarball’s speed at the top of its trajectory is 43.3 m/s. The tarball then lands at a point on the ground within enemy lines, horizontally 321 m from its launch point, striking an enemy unit. Let us neglect air resistance. (a) How high is the highest point of the tarball’s trajectory, from the launch height? (b) What is the vertical distance between the tarball's launch point and the tarball’s point of a strike at the ground?