in detail How far, and in what direction, should a cellist move her finger to adjust a string's tone from an out-of-tune 450 Hz to an in-tune 440 Hz?...

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How far, and in what direction, should a cellist move her finger to adjust a string's tone from an out-of-tune 450 Hz to an in-tune 440 Hz? The string is 68.0 cm long, and the finger is 19.1 cm from the nut for the 450-Hz tone. (Assume the tone comes from the portion of the string between the cellist's finger and the end opposite the nut. Assume the string vibrates in the fundamental mode. Take the direction towards the nut to be positive. Indicate the direction with the sign of your answer.)