document.write( "Question 154078: Avoiding a Collison: A car is traveling on a road tht 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 toward the same crossing. How far is the train from the crossing.\r
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Algebra.Com's Answer #113403 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
Project the situation as a triangle:
\n" ); document.write( "The distance of the car to the crossing as an $\"opposite\"$ side = $\"o=30+m\"$ .
\n" ); document.write( "The distance of the train to the car at a certain angle is the $\"hypotrenuse\"$ = $\"h=50m\"$ .
\n" ); document.write( "So the unknown is the distance of the train to the crossing which is the $\"adjacent\"$ side= $\"a\"$ =?
\n" ); document.write( "by Pyth.Theorem:
\n" ); document.write( " $\"h%5E2=a%5E2%2Bo%5E2\"$
\n" ); document.write( " $\"a%5E2=h%5E2-o%5E2\"$
\n" ); document.write( " $\"a=sqrt%28h%5E2-o%5E2%29\"$
\n" ); document.write( " $\"a=sqrt%2850%5E2-30%5E2%29=sqrt%282500-900%29=sqrt%281600%29\"$
\n" ); document.write( " $\"a=40m\"$ ----------------------------> distance of the train to the crossing
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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