Radio Controlled Fire Engine Mass Of Gas Expelled To Make The Needed Course Correction (momentum)?

Mass of gas expelled to make the needed course correction (momentum)? - radio controlled fire engine

A 5700 kg rocket traveling at 2600 m / s moves freely in space from a trip to the moon. The controllers are that the rocket veered off its course and should change in direction to 9.5 degrees, when he reached to the moon. For engines fired, radio controlled missiles at once (ie as a single tablet) in a direction perpendicular to the motion of the rocket. The gases are distributed (the pill) at a speed of 3800 m / s (based) on the rocket.
What is the mass of the gas must be removed so that the course correction needed? Answer in units of kilograms.