Consider a lifeguard at a circular pool with diameter 43 meters. The lifeguard, at position A,must reach someone who is drowning on the exact opposite side of the pool, at position C.The lifeguard swims at a rate of 1.22 m/s and runs at a rate of 3.26 m/s.Part 1: Find a function T, that measures the total amount of time it takes to reach the drowning person as a function of the swim angel theta?(42cos(theta)/1.27)+(42(theta)/2.69)Part 2:At what angle theta should the lifeguard swim to reach the drowning person in the least amount of time?
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