During a fireworks display, a shell is shot into the air with initial speed of $43\mathrm{.}860\frac{m}{s}$ at an angle of $6\mathrm{.}410$ degrees above the horizontal. The fuse is timed to explode just as it reaches its highest point above the ground. What is the horizontal displacement when it explodes $?$ Use $g=9\mathrm{.}8\frac{m}{s^2}.$