Bat and mirror relativistic problem is my solution good ?

[irrehaare]

So the bat is flying with velocity 172 m/s and he see himself in mirror which is parallel to the direction of fly. He can himself in the mirror because he send a sound signals with velocity 344 m/s. So now i have to count angel to the direction of motion.
a) first in arrangement of air
b) in arrangement of bat.

So here is my solution:
answer
a) cos alfa
b) sin beta

is it correct I'm not sure with arrangement

 

[quantumdude]

Sorry for replying so late, but I really can't read your PDF. I suspect that's why no one responded to this. If you're still interested in discussing the problem, then can you either post a better scan or show your steps in LaTeX?