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 car's new collision detector warns the driver that there i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 car's new collision detector warns the driver that there i      Log On


   



Question 138876This question is from textbook
: A car is traveling on a 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 meteres from the car and heading toward the same crossing. How far is the train from the crossing? This question is from textbook

Answer by stanbon(75887) About Me  (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 car's new collision detector warns the driver that there is a train 50 meteres from the car and heading toward the same crossing. How far is the train from the crossing?
---------------
Draw the picture.
You should have a right triangle with hypotenuse 50 meters
and a side of 30 meters.
The other side is the distance of the train from the intersection.
Call the missing side "x".
EQUATION:
50^2 = 30^2 + x^2
x = sqrt[50^2-30^2]
x = sqrt[2500-900]
x = sqrt[1600]
x = 40 meters (the distance the train is from the crossing)
=============
Cheers,
Stan H.