kiransehmi9082 kiransehmi9082
  • 12-06-2018
  • Mathematics
contestada

A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from her starting point is she?

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carlosego
carlosego carlosego
  • 21-06-2018
For this case we can model the problem as a rectangle triangle.
 We have:
 Length of the sides of the triangle.
 We want to find:
 Length of the hypotenuse.
 Using the Pythagorean theorem we have:
 [tex]d ^ 2 = 2 ^ 2 + 2 ^ 2 [/tex]
 [tex]d = \sqrt{2 ^ 2 + 2 ^ 2} d = \sqrt{4 + 4} d = \sqrt{8} d = 2\sqrt{2} [/tex]
 Answer:
 
She is:
 
[tex]d = 2\sqrt{2} [/tex]
 miles far from her starting point
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