Rachel drives 33 miles east and then drives 56 miles north. How far is she from her starting point?
To solve this problem, we can use the Pythagorean theorem.
We have a right-angled triangle where the eastward distance is the base (33 miles) and the northward distance is the height (56 miles). The distance from the starting point is the hypotenuse of the triangle (let's call it c).
Using the Pythagorean theorem:
c^2 = 33^2 + 56^2
c^2 = 1089 + 3136
c^2 = 4225
Taking the square root of both sides:
c = √4225
c ≈ 65
Therefore, Rachel is approximately 65 miles from her starting point.