Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.
In this problem:
Hence:
[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]
[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]
[tex]d = 21.95[/tex]
The swimmer is 21.95 feet from the boat.
You can learn more about the slope concept at https://brainly.com/question/26342863