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Answer:

6.6 miles

Step-by-step explanation:

She jogged along the legs of a right triangle. Use the Pythagorean theorem to find the length of the hypotenuse.

[tex] d = \sqrt{3.4^2 + 5.7^2} = \sqrt{44.05} = 6.6 [/tex]

The distance of Ashley from her starting point after moving east and then south is; 6.64 miles

Pythagorean Theorem

We are told that;

  • Ashley first jogged 3.4 miles east
  • Then she jogged 5.7 miles south

Now, the distance from where she is to her starting point after going 5.7 miles south can be denoted as x which will form a Right angled triangle.

Thus, we can use Pythagorean theorem to get the value of x.

x = √(5.7² + 3.4²)

x = √(32.49 + 11.55)

x = √(44.05)

x = 6.64 miles

Read more about Pythagorean theorem at; https://brainly.com/question/3317136

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