During a fireworks display, a shell is shot into the air with an initial speed of 35.0 m/s at an angle of 75.0° above the horizontal, as illustrated in Figure 1. The fuse is timed to ignite the shell just as it reaches its highest point above the ground.
(a) Calculate the height at which the shell explodes.
(b) How much time passes between the launch of the shell and the explosion?
(c) What is the horizontal displacement of the shell when it explodes?
(d) What is the total displacement from the launch point to the highest point?