A jogger runs 59 m due west, then changes direction and runs 83 m due north. What is the distance the jogger travels?

distance= sqrt(59^2+83^2)

To find the distance the jogger travels, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides.

In this case, we can consider the distance the jogger runs due west as the "horizontal" side of the triangle, and the distance the jogger runs due north as the "vertical" side of the triangle.

Let's calculate the distance:

1. Square the distance the jogger runs due west: 59^2 = 3,481.
2. Square the distance the jogger runs due north: 83^2 = 6,889.
3. Add those two values together: 3,481 + 6,889 = 10,370.
4. Take the square root of the sum to find the distance: √10,370 ≈ 101.83.

Therefore, the distance the jogger travels is approximately 101.83 meters.