Question

Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk

Answer 1

4.6 km

Explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

Distance

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

c² = a² + b²

5² = 2² + b²

21 = b²

b = √21 ≈ 4.583

Santos walked about 4.6 km east.

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