There's nothing but the question here no diagram or equation ( unless you use sin cos tan)

A small rocket is launched at an angle of 60 degrees the rockers mass is 1kg and the force from the rocket is 50 the total distance the rocket provides is 100meters. How far will it go and please explain to me

You're going to have to clarify the problem statement.

" A small rocket is launched at an angle of 60 degrees the rockers mass is 1kg and the force from the rocket is 50" I assume you mean 50N, right?

" the total distance the rocket provides is 100meters." I assume you mean the rocket travels 100 meters then the rocket motor cuts out and the rocket falls to the ground?

"How far will it go and please explain to me" This depends very much on an assumption of the trajectory the rocket takes. Can we assume that the rocket travels in a straight line from launch for 100 meters? If so then this problem involves determining the horizontal and vertical components of the rocket's velocity and displacement when the motor stops, then use standard equations of motion to determine how far it travels in free fall to hit the ground. You can find the horizontal and vertical acceleration while the motor is running from


\sum \vec F = m \vec a


and then the velocity after 100 meters of travel from


v_x^2 = 2a_xd_x,\\
v_y^2 = 2a_yd_y


where d_x and d_y are the horizontal or vertical components of displacement when the rocket has traveled 100 meters.

I suggest you get started with this and post back with your attempt at completing the problem.