Question $11.$

A projectile is launched at a velocity of

$v=30i+35j+40k\frac{m}{s}$

from the origin of a Cartesian coordinate system, as shown in the figure, where $i,j$ and $k$ are versors aligned with the axes

respectively. After a period of $3$ seconds, a laser gun is fired at the projectile from the origin. Calculate the azimuthal angle $$ and the

elevation angle $$ in degrees in which the laser should fire in order to hit the target assuming no air resistance on the projectile. Please

use $g=9\mathrm{.}81\frac{m}{s^2}.$

The angles $$ and $$ are defined in the figure.

The angles $$ and $$ are defined in the figure.

Enter your answers below in degrees to three significant figures:

$$: