SOLUTION: Peters walks 240 meters east to Mark's house. From there the two boys walked going to the bus station which is 480 meters 45 degrees north of east from Mark's house. The bus then t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Peters walks 240 meters east to Mark's house. From there the two boys walked going to the bus station which is 480 meters 45 degrees north of east from Mark's house. The bus then t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1134342: Peters walks 240 meters east to Mark's house. From there the two boys walked going to the bus station which is 480 meters 45 degrees north of east from Mark's house. The bus then traveled 880 meters north. How far is the school from Peters house?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find x and y coordinates of their
final position. Call their starting point
the origin
----------------
After getting to Mark's house,
+x+=+240+
+y+=+0+
----------------
After getting to the bus station,
+x+=+240+%2B+480%2Fsqrt%282%29++
+x+=+240+%2B+339.411+
+x+=+579.411+
and
+y+=+480+%2F+sqrt%282%29+
+y+=+339.411+
-------------------------------
The bus travels +880+ m north
+x+=+579.411+
+y+=+339.411+%2B+880+
+y+=+1219.411+
-------------------------------
+d%5E2+=+579.411%5E2+%2B+1219.411%5E2+
+d%5E2+=+335717.107+%2B+1486963.187+
+d+=+1350.067+ m
------------------------------
check the math & get a 2nd opinion if needed