car is traveling on a road that is perpendicular to a railro

car is traveling on a road that is perpendicular to a railroad. 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 toward the same crossing. How far is the train from the crossing?

Solution

You have a right triangle with one side=30 & the hypotenuse=50.
30^2+x^2=50^2
900+x^2=2500
x^2=2500-900
x^2=1600
x=sqrt1600
x=40 m. is the distance of the train from the crossing.
Proof:
30^2+40^2=5062
900+1600=2500
2500=2500