Question

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.How many kilometers east did Santos walk?

Answer 1

To determine how many kilometers east Santos walked, we can use the Pythagorean theorem to find the distance traveled for each leg of the journey.

Step-by-step explanation:

To determine how many kilometers east Santos walked, we need to use the Pythagorean theorem to find the distance traveled for each leg of the journey. Since he ends up 5 kilometers away from his starting position, we can form a right triangle with the hypotenuse representing the total distance walked.

Let's assume Santos walked x kilometers east. The other leg of the triangle represents the 2 kilometers south he walked. Using the Pythagorean theorem, we have x2 + 22 = 52.

This simplifies to x2 + 4 = 25. Subtracting 4 from both sides gives us x2 = 21. Taking the square root of both sides, we find that x ≈ 4.58. Therefore, Santos walked approximately 4.58 kilometers east.

Answer 2

4.6 Or 4.60

Step-by-step explanation:

Like the other person said, 4.56. The question says "round to the nearest tenth" so 4.56 rounds to 4.60

Hope it helps~