SOLUTION: Avoiding a collision. A car is traveling on the road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns

Algebra ->  Length-and-distance -> SOLUTION: Avoiding a collision. A car is traveling on the road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector warns       Log On


   



Question 45536: Avoiding a collision. A car is traveling on the road that is perpendicular 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? Please show work as well as solution. Thank you.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as a right triangle.
The crossing is the point at which the right angle is located.
Crossing to car is a leg, and from the crossing to the train is the other leg.
Leg: 30
Leg: a
Hypotenuse: 50
c%5E2+=+a%5E2+%2B+b%5E2
2500+=+a%5E2+%2B+900
1600+=+a%5E2
40+=+a
40 meters from the crossing