What is the Gyro Error if the Sun's Azimuth at Sunrise is calculated to be 098°(T) and the Ship's Gyro measures 100°(T)?

To determine the gyro error, one must compare the true value of the sun's azimuth to the gyro-compass reading. The true azimuth at sunrise is given as 098°(T), while the gyro reading is 100°(T).

To calculate the gyro error, you subtract the true azimuth from the gyro azimuth. In this case, it looks like this:

100°(T) - 098°(T) = 2°.

Since the gyro reading is greater than the true azimuth, this indicates that the gyro compass is reading too high. In navigation terms, a reading that is higher than the true direction indicates that the gyro is in error to the West. Thus, when the gyro error is expressed, it is indicated as 2°W.

Therefore, the correct identification of the gyro error is indeed 2W, reflecting the ship's gyro being 2 degrees off to the west in relation to the true azimuth of the sun.