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Car Distance

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Car Distance


1. Stating the problem: A car travels 60 km north and then 80 km east. We want to find the straight line distance from the starting point to the final position. 2. This forms a right triangle where the legs are 60 km (north) and 80 km (east). 3. Use the Pythagorean theorem to find the hypotenuse $d$, which represents the straight line distance: $$ d = \sqrt{60^2 + 80^2} $$ 4. Calculate the squares: $$ 60^2 = 3600, \quad 80^2 = 6400 $$ 5. Sum the squares: $$ 3600 + 6400 = 10000 $$ 6. Take the square root: $$ d = \sqrt{10000} = 100 $$ 7. So, the straight line distance from the starting point to the car's final position is 100 km.