Yes, trim solenoid.
I take it it does not work.
A few facts....I am guessing that this is a three wire trim motor.
At the trim motor, black is ground, blue is UP, and green is DOWN.
The relay is only used for the UP function.
The control switch must be a SPDT, momentary type in that it is spring loaded so that it returns to center position, or OFF to either the UP or DOWN positions.
The switch should be rated at maybe about 10 amps.
The DOWN function happens without the use of a relay.
Use 16 gauge wire for all wiring. Put a fuse in the +12v line that you select to run to the relay. Guessing maybe 10 amps. If it blows when going DOWN, increase to a 20 amp fuse. Do not go any higher.
For the control circuit...the red with white stripe is +12v. The UP control is blue with white stripe, the DOWN control function is green with white stripe.
So, it is wired this way:
Run +12 volts from battery thru fuse to one side of solenoid (large terminal), run red with white stripe from same terminal up to center lug of actuating switch.
Attach BLUE wire from TT motor to the other large lug of the solenoid, (opposite the power side).
Using the switch documentation or a meter, determine which lugs of the switch get connected together when switch is flipped to UP. Once you know that, run a blue/white wire from that switch lug back to the solenoid, small terminal that we cannot see in the pics. The other small terminal will be ground.
At this point, the UP function should work.
From the other lug on the switch...the one left without a wire....run a heavy green wire (16) gauge back to the trim motor green wire.
DOWN should now work.