“You somehow escaped its grasp; now you face a familiar choice.”
Answer: 7.5 – The hands on a clock always move at a constant rate. The hour hand must make 1/12 of a circle every hour (360o x 1/12 = 30o). At 3:15, the hour hand is a quarter of its way through the 30o angle it covers in the hour. So the hour hand is 30o x ¼ = 7.5o past the digit 3, which is where the minute hand is.
Click the ball of string to retrace your steps.