Using the slope concept, it is found that the ship is sunken at a depth of 357 meters.
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
Hence, applying the slope:
[tex]\tan{55^\circ} = \frac{d}{250}[/tex]
[tex]d = 250\tan{55^\circ}[/tex]
[tex]d = 357[/tex]
The ship is sunken at a depth of 357 meters.
More can be learned about the slope concept at https://brainly.com/question/18090623