Question

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?

Answer 1

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:
 $d ^ 2 = 2 ^ 2 + 2 ^ 2$
 $d = \sqrt{2 ^ 2 + 2 ^ 2} d = \sqrt{4 + 4} d = \sqrt{8} d = 2\sqrt{2}$
 Answer:
 She is:
 $d = 2\sqrt{2}$
 miles far from her starting point