Help with precalc homework?!
The cat is
[D] None of these.
Imagine the 54km east and 55km south as legs of a right triangle, and the route that the cat took back as the hypotenuse. We need to find the hypotenuse's length, and the angle formed by the hypotenuse and the 54km line segment.
The hypotenuse's length can be acquired from the Pythagorean Theorem. We'll call d the distance, or length of the hypotenuse.
Secondly, we need to find the direction, or the angle formed by the hypotenuse and the positive x axis counterclockwise. This measurement should be (in this case) more than 180 degrees. Since neither a, b, nor c provides a direction of over 180 degrees, the answer must be d.