Respuesta :

Troy is 9.43 miles far from his starting point.

Step-by-step explanation:

Given,

Distance traveled east = 8 miles

Distance traveled north = 5 miles

The distance east and north and coming back will form a right triangle where the distance east and north will form the two legs and coming back to starting point will be the hypotenuse.

Using Pythagoras theorem

[tex]a^2+b^2=c^2\\(8)^2+(5)^2=c^2\\64+25=c^2\\89=c^2\\c^2=89[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{89}\\c=9.43[/tex]

Troy is 9.43 miles far from his starting point.

Keywords: square root, addition

Learn more about addition at:

  • brainly.com/question/10538663
  • brainly.com/question/10557275

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