Time to swim across river with variable speed - Math Puzzle

The video tutorial explains how to swim across a river in a straight line by angling your swim to counteract the river's current. It involves calculating the net horizontal speed using Pythagorean theorem and integrating to find the total time taken. The final result shows that it takes approximately 0.524 hours to cross the river.

What is the importance of angling your swim while crossing the river?

What role does the Pythagorean theorem play in calculating the swimming speed?

How can you determine the total time taken to cross the river?

Explain the significance of the inverse sine function in this context.

What is the final answer for the time taken to cross the river, and how is it derived?