SOLUTION: A car is traveling on a road that is perpindicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A car is traveling on a road that is perpindicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is      Log On


   



Question 328233: A car is traveling on a road that is perpindicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading towards the same crossing. How far is the train from the crossing?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a right triangle and use the Pythagorean theorem A%5E2%2BB%5E2=C%5E2.
One leg is from the car to the crossing.
One leg is from the train to the crossing.
The hypotenuse is from the car to the train.
30%5E2%2BB%5E2=50%5E2
900%2BB%5E2=2500
B%5E2=1600
B=40
The train is 40m from the crossing.