Understanding Relativistic Angles in Space

[integralmasta]

Please help me understand better
A person in space is moving in a flying saucer along the x-direction at (3/4)*c relative to Mars, shoots a laser pulse to another observer. The laser barrel gun makes 60o with the x-direction in the rest frame of the spaceship.
At what angle, according to this observer, does the laser pulse move with respect to the x-direction?

I mean if the pulse is sent directly to him then isn't the angle the same or there is no angle

 

[Doc Al]

Whether it's a gun barrel or a stick, the analysis is the same. In the rest frame, the barrel makes an angle of 60 degrees to the horizontal. What are the x and y components of the barrel's length? How do those components change when measured in the moving frame?