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 = √(2 ^ 2 + 2 ^ 2) d = √(4 + 4) d = √(8) d = 2√(2)`
Answer:
She is:

`d = 2√(2)`
miles far from her starting point