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
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Question 134213This 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
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?
:
This situation is in the form of a right triangle where one leg is dist to the
crossing, given as 30 meters. The distance from the train to the car is the
hypotenuse, given as 50 meters. We want to find the 2nd leg of the triangle (b)
:
30^2 + b^2 = 50^2
900 + b^2 = 2500
b^2 = 2500 - 900
b^2 = 1600
b =
b = 40 meters
:
