naudia rode her bike 2 miles south. then, she went east for 3 miles to reach her destination. how far is she from her starting point? round your answer to the nearest tenth. explain how you solve the problem.
To solve this problem, we can use the Pythagorean Theorem.
Naudia rode 2 miles south, which we can consider as a movement downwards on the y-axis. This means she is 2 units below the starting point.
Then, she went 3 miles east, which we can consider as a movement to the right on the x-axis. This means she is 3 units to the right of the starting point.
Now, we can form a right-angled triangle with one side measuring 2 units (representing the movement downwards) and another side measuring 3 units (representing the movement to the right). We need to find the length of the hypotenuse, which will represent Naudia's overall distance from her starting point.
Using the Pythagorean Theorem, we have:
c^2 = a^2 + b^2
where c is the hypotenuse and a and b are the two sides of the triangle.
Plugging in the values, we get:
c^2 = 2^2 + 3^2
c^2 = 4 + 9
c^2 = 13
Taking the square root of both sides, we have:
c = √13
Rounding to the nearest tenth, we get:
c ≈ 3.6
Therefore, Naudia is approximately 3.6 miles away from her starting point.