$**$solve Using MatLab$**$

Engineers compute the trajectories of projectiles like rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the $(x,y)$ coordinates, as displayed in the figure. The trajectory can be modeled as

$y=(tan{}_0)x-\frac{g}{2v_0^{2}co{s}^2{}_0}{x}^2+y_0$

Find the appropriate initial angle ${}_0$ if the initial velocity $v_0=20\frac{m}{s}$ and the distance to the catcher $x$ is $40$ m $.$ Note that the ball leaves the thrower's hand at an elevation of $y_0=1\mathrm{.}8m$ and the catcher receives it at $y=1m.$ Express the final result in degrees. Use a value of $9\mathrm{.}81\frac{m}{s^2}$ for $g$ and employ the graphical method to develop your initial guesses. $[20$ pts$]$