What instrument shows an aircraft's relationship to pitch and bank using gyroscopic technology?

The attitude indicator is designed to provide pilots with critical information regarding the aircraft's orientation relative to the horizon. Using gyroscopic technology, it displays whether the aircraft is climbing, descending, or maintaining level flight, as well as how much the aircraft is banked to the left or right. This information is vital for maintaining controlled flight, especially in instrument conditions or adverse weather where the horizon might not be visible.

The other options do not fulfill this specific function. The heading indicator provides information on the aircraft's direction relative to magnetic north, the gyroscope is a broader term that encompasses various instruments including the attitude indicator but does not itself provide the relationship of pitch and bank, and the altimeter measures altitude above sea level but does not relate to the aircraft's orientation in a pitch or bank sense.