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A ship travelled 9 km due south then turned east and travelled another 8 km.
How far is it from its starting point?
(1mark)
Answer:

Sagot :

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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