SOLUTION: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the cars new collison detector warns the driver that there is

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Question 168351: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the cars new collison detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!

this is a right triangle problem so use the pathorean theorem:
a%5E2%2Bb%5E2=c%5E2 in this case a is 30 and c is 50 and b is what you are looking for
30%5E2%2Bb%5E2=50%5E2
900%2Bb%5E2=2500
b%5E2=1600 take sqrt of both sides
highlight%28b=40%29which is how far the train is from the crossing