Refer to the figure to the right.
(a) How many inches will the weight in the figure rise if the pulley is rotated through an angle of 77° 40'?
(b) Through what angle, to the nearest minute, must the pulley be rotated to raise the weight 4 in.?
(a) The weight in the figure will rise ___ inches.
(Do not round until the final answer. Then round to the nearest tenth as needed.)