1. **State the problem:** Two cars start from the same point. One travels north 4 km, the other east 3 km. We want to find the straight-line distance between them.
2. **Formula used:** We use the Pythagorean theorem for right triangles: $$c = \sqrt{a^2 + b^2}$$ where $a$ and $b$ are the legs, and $c$ is the hypotenuse (distance between cars).
3. **Identify values:** Here, $a = 4$ km (northbound), $b = 3$ km (eastbound).
4. **Calculate:** $$c = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = \sqrt{25}$$
5. **Simplify:** $$c = 5$$
6. **Interpretation:** The cars are 5 kilometers apart in a straight line.
This uses the Pythagorean theorem to find the hypotenuse of a right triangle formed by the cars' paths.
Car Distance 198660
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