Question: please tell me how to solve below Optimization Problems (1), (2) 1) A woman throws a stick into a rake for her dog to fetch;

please tell me how to solve below Optimization Problems (1), (2)

1) A woman throws a stick into a rake for her dog to fetch; the stick is 20feet down the shore line and 15feet into the water from there. The dog may jump directly into the water and swim, or run along the shore line to get closer to the stick before swimming. The dog runs about 22ft/s and swim about 1.5ft/s. What is the minimum time (in seconds) that will take the dog to reach the stick?

Note: Do not round until the very end of the problem.

2) What are the dimensions of the rectangle with the largest area that can be drawn inside the unit circle? Enter the smaller number.

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