Two cars start from the same point at the same time. One car travels north at 62.0 miles per hour. The other car travels east at 55 miles per hour. How far apart, to the nearest mile, are the cars after 1.5 hours?
We can use the Pythagorean theorem to solve this problem.
After 1.5 hours, the distance traveled by the car traveling north is 1.5 hours * 62.0 miles per hour = 93.0 miles.
After 1.5 hours, the distance traveled by the car traveling east is 1.5 hours * 55 miles per hour = 82.5 miles.
Let's call the distance between the two cars after 1.5 hours D.
Using the Pythagorean theorem, we have:
D^2 = (93.0 miles)^2 + (82.5 miles)^2
D^2 = 8649 + 6806.25
D^2 = 15455.25
D = √15455.25
D ≈ 124.28
Therefore, the cars are approximately 124 miles apart after 1.5 hours.