An aerialist on a high platform holds onto a trapeze attached to a support by an 9.2-m cord. (See the drawing.) Just before he jumps off the platform, the cord makes an angle of 38° with the vertical. He jumps, swings down, then back up, releasing the trapeze at the instant it is 0.53 m below its initial height. Calculate the angle θ that the trapeze cord makes with the vertical at this instant.