Thanks to both Mufasa and Ron Gordon, I now understand when I difficultly came from, misunderstanding of the term vertically. Problem:
I am having trouble solving this problem. Also, a bit unsure if I fully understand the language used in the problem. I know that the rocket lift off vertically, and I know the graph of the position function $s$.  I know to use the right half of the graph, otherwise time would being going backwards. However, how to give the angle is puzzling me, from the camera's reference point. I know how to use the arc length to find the angle, but only for circles. Now, I understand that vertically means a straight line, but how does one solve it if it doesn't follow the strict meaning of vertically, and insteads follows a parabola?
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Find the rate of change in the angle of elevation of the camera at 10 seconds after lift-off
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