Final answer:
To find the distance from the ship's starting point after traveling 9 km south and 8 km east, we use the Pythagorean theorem, resulting in a distance of approximately 12.04 km.
Explanation:
To find the distance from the ship's starting point after traveling 9 km south and then 8 km east, we can use the Pythagorean theorem. The ship has moved 9 km south and 8 km east, forming a right-angled triangle. The distance from the starting point is the hypotenuse of this triangle.
Using the Pythagorean theorem, the distance from the starting point is:
sqrt((9 km)^2 + (8 km)^2) = sqrt(81 + 64) = sqrt(145) ≈ 12.04 km
Therefore, the ship is approximately 12.04 km from its starting point.
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