RCA doesn't make monitors, only picture tubes. Look for a manufacturer name and part number on the metal frame or the chassis (circuit board)
You have vertical collapse. The horizontal deflection is still working as it's producing a horizontal line (when looking at like a TV orientation). Since it shrinks down over time and isn't always collapsed, as long as it's a gradual shrink, it's probably not a bad solder joint or wire.
I would suggest starting with what's known as a "cap kit". This replaces all the aged and dried out capacitors known as electrolytics. These cause numerous problems when they're old and could affect this. However, while a cap kit is cheap (usually $5 + $6 shipping) you need to know how to safely "discharge" a monitor to remove the circuit board from the tube, and how to desolder and resolder components and how to read the markings on the circuit board to ensure correct replacement.
If the cap kit doesn't fix it, you may have other problems such as failed resistors or even transistors/diodes in the circuit, but that is less likely.
Even if a cap kit doesn't totally fix things, usually one done on a 20 year old monitor that hasn't had one done recently will bring back the monitor to looking and operating better in many ways.