Yes, and further you talk about aimlessly waggling at 60 degrees per second.
...and then went on to use a far more conservative value of 10degrees/sec for the actual calculations. That number came from standard data we use for human-induced jitter in ground laser designators. Neither number means "move the laser through 60/10 degrees" it's an angular velocity, not a movement distance.
Why don't you consider a more concerted waggle in the general direction of the aeroplane with the intention of actually hitting it.
I did - why don't you consider a more concerted reading of what was actually written rather than waggling your eyes in the general direction of the screen...
PDR
[sorry - couldn't resist that dig. I should be ashamed of myself]