Final answer:
The height of a parallelogram with a base angle of 75 degrees is 75 degrees.
Step-by-step explanation:
The height of a parallelogram with a base angle of 75 degrees does not depend on the length of the base. The height is determined by the length of the base and the angle between the base and the height. In a parallelogram, opposite angles are congruent, so the height corresponds to the opposite base angle. Therefore, the height of the parallelogram with a base angle of 75 degrees is 75 degrees.