In 1759, John Harrison (1693-1776) completed his fourth precision chronometer, the H4, which eventually won the celebrated Longitude Prize. (For the human drama behind the Longitude Prize, see Longitude, by Dava Sobel.) When the minute hand of the H4 indicates 10 minutes past the hour, it extends 3.0 cm in the horizontal direction.

(a) How long is the H4's minute hand?

(b) At 10 minutes past the hour, is the extension of the minute hand in the vertical direction more than, less than, or equal to 3.0 cm? Explain.

(c) Calculate the vertical extension of the minute hand at 10 minutes past the hour.