Two concurrent and coplanar forces act at the middle of a simply supported beam, as shown below. Find the magnitude and direction of the Resultant of the applied forces, using the Method of Rectangular Components. In your final answer, provide a sketch of the simply supported beam, showing the Resultant vector, with its location, magnitude and direction.
$F_1 = 10,000 \ lbs$
$\theta_1 = 60^\circ$
$F_2 = 15,000 \ lbs$
$\theta_2 = 75^\circ$