Answer:
False.
Explanation:
A directional gyro is not an instrument that shows an aircraft's heading. Instead, a directional gyro, also known as a gyrocompass or a gyroscopic compass, is an instrument that provides the pilot with the aircraft's heading by utilizing the principles of gyroscopic precession. It does not directly display the heading but provides a reference for the pilot to determine the heading accurately. The heading is usually indicated on the aircraft's magnetic compass or a separate heading indicator. So, the statement that a directional gyro shows an aircraft's heading is false.