Question 1121876
<br>
Since you say the camera is 30 feet from the sideline, I assume the "7 feet from midcourt" means it is 40 feet from one end of the court and 54 feet from the other end.<br>
Here is a rough picture (not to scale):<br>
{{{drawing(400,160,-50,60,-40,10,
line(-40,0,54,0),line(0,-30,0,0),line(-40,0,-40,8),line(54,0,54,8),line(-40,0,0,-30),line(54,0,0,-30),locate(0,-32,C),locate(-40,-2,A),locate(54,-2,B),locate (0,5,O),locate(-20,5,40),locate(37,5,54),locate(2,-12,30)
)}}}<br>
The angle the camera (at C) must sweep to cover all action on the court is angle ACB, which is the sum of angles ACO and BCO.  Angle ACO has a tangent of 40/30; angle BCO has a tangent of 54/30; so the measure of angle ACB is<br>
arctan(40/30)+arctan(54/30)<br>
which is about 114 degrees.