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.