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This problem can be solved using the Pythagorean theorem because you are forming a right triangle with the two legs being the distances you travel west and south.

- The distance traveled west is 20 miles.
- The distance traveled south is 14 miles.

Using the Pythagorean theorem:

\[
c = \sqrt{a^2 + b^2}
\]

where \(a = 20\) miles, \(b = 14\) miles, and \(c\) is the straight-line distance from the starting point.

Now, let's calculate the straight-line distance.The straight-line distance from your starting point is approximately 24.4 miles.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How would the straight-line distance change if you traveled 25 miles west and 10 miles south?
2. Can the Pythagorean theorem be applied in a case where you travel in non-perpendicular directions?
3. What is the general formula for calculating distances in three-dimensional space?
4. How can the Pythagorean theorem be useful in real-world applications like navigation or mapping?
5. What would the distance be if you traveled in a perfect circle rather than along straight paths?

**Tip:** In geometry, right triangles often simplify distance problems, so recognizing them can help solve similar questions easily!

You start driving west for 20 miles, turn left, and drive south for another 14 miles. What is your straight-line distance from your starting point? Round to the nearest tenth of a mile.

Learn how to calculate the straight-line distance from your starting point after traveling 20 miles west and 14 miles south using the Pythagorean theorem. This problem applies fundamental geometry concepts and is suitable for students in Grades 7-9.

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