Answer:
The Pythagorean Theorem can be used on a right triangle to find a missing side's length.
![a^2+b^2=c^2\\c= hypotenuse \\a ,b = legs](https://img.qammunity.org/2021/formulas/mathematics/high-school/ss13smcabnibh3a904ai639dhjw7y6klpg.png)
A dog's Frisbee is thrown 7 feet east from it's owner. The dog is 5 feet away from the owner. How far is the dog from the Frisbee?
Knowing the directions of the compass, the model should form a right triangle.
5 and 7 would be the legs. How far the dog would be from the Frisbee would be the hypotenuse.
We need to solve for the hypotenuse using the Pythagorean Theorem.
![5^2 + 7^2 = c^2\\25 + 49 = c^2\\74 = c^2\\√(74) = 8.60232526704](https://img.qammunity.org/2021/formulas/mathematics/high-school/951rgxhvlyg7rbrcqkbug0u2daw3u40glx.png)
8.60232526704 ≈ 8.6
c ≈ 8.6
The dog is about 8.6 feet from the Frisbee.
[diagram is enclosed]
Brainilest is appreciated.