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 collision detector warns the driver that there is

Question 134212This question is from textbook Elementary and intermediate Algebra
: 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 collision detector warns the driver that there is a train 50 meters from the car heading toward the same crossing. How far is the train from the crossing? This question is from textbook Elementary and intermediate Algebra

Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
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 collision detector warns the driver that there is a train 50 meters from the car heading toward the same crossing. How far is the train from the crossing?
Well for this problem you use the Pythagorean theorem. here your a is 30 and your c is 50 so, if you know your Pythagorean triples you know that the other leg, b, is 40 meters long. if not you solve the simple equation:
30^2 + b^2 = 50^2
900 + b^2 = 2500
b^2 = 1600
b = 400

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