SOLUTION: two cars leave a crossroads at the same time. one heads north at 50 km/h and the other heads east at 70 km/h. how far apart are the cars after 2.0 hours?

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Question 564036: two cars leave a crossroads at the same time. one heads north at 50 km/h and the other heads east at 70 km/h. how far apart are the cars after 2.0 hours?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
they are travelling at right angles to each other.
At any given instant they form a right triangle with their starting point

after 2 hours one car is 100 km away from starting point and another car 140 km
leg1 = 100 km
Leg2 = 140 km

Hypotenuse^2 100 ^2 + 140 ^2
Hypotenuse^2 10000 + 19600
Hypotenuse^2 29600
take the square root
Hypotenuse^2 172.05 km