An aerialist on a high platform holds onto a trapeze attached to a support by an $6\mathrm{.}4-$m cord. $($See the drawing.$)$ Just before he jumps off the platform, the cord makes an angle of $44$ with the vertical. He jumps, swings down, then back up$,$ releasing the trapeze at the instant it is $0\mathrm{.}64m$ below its initial height. Calculate the angle $$ that the trapeze cord makes with the vertical at this instant.

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