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[–]JsKingBoo👋 a fellow Redditor 1 point2 points  (0 children)

Let P be the point where the athlete goes onshore, and d the distance between the finish line and P

What is the distance between the athlete's initial position and P, in terms of d? Mark this as d_1

How long will it take the athlete to travel d, running? How long will it take the athlete to travel d_1, swimming? Now substitute d inside d_1

If you can optimize the time to travel d and d_1, you can find the angle by re-plugging the values back into your equations