Peyton has driven 176 miles east and Luciana has driven 159 miles south from the same starting location. How far apart are Peyton and Luciana? miles Round your answer to the nearest hundredth.

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To find out how far apart Peyton and Luciana are, we need to calculate the distance between their current locations.

Given:
- Peyton has driven 176 miles east.
- Luciana has driven 159 miles south.

We can use the Pythagorean theorem to find the distance between Peyton and Luciana. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the distance between Peyton and Luciana as $$ d $$.

Using the Pythagorean theorem:
$$ d^2 = 176^2 + 159^2 $$

Now, we can calculate the distance between Peyton and Luciana.
Calculate the value by following steps:
- step0: Calculate:
  $$176^{2}+159^{2}$$
- step1: Evaluate the power:
  $$30976+159^{2}$$
- step2: Evaluate the power:
  $$30976+25281$$
- step3: Add the numbers:
  $$56257$$
Calculate or simplify the expression $$ \sqrt{56257} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{56257}$$
The distance between Peyton and Luciana is approximately 237.19 miles.

Therefore, Peyton and Luciana are approximately 237.19 miles apart.
Peyton and Luciana are approximately 237.19 miles apart.

Peyton has driven 176 miles east and Luciana has driven 159 miles south from the same starting location. How far apart are Peyton and Luciana? miles Round your answer to the nearest hundredth.

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