SOLUTION: A boy traveled 100 km north from his house, traveled 70 km west and finally 60 km north. What is his distance from his house?
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Question 928030: A boy traveled 100 km north from his house, traveled 70 km west and finally 60 km north. What is his distance from his house?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
use vector addition:
v(0,100) + v(-70,0) + v(0,60) = v(-70,160)
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d = vector length = sqrt( xx + yy )
d = sqrt( (-70)*(-70) + 160*160 )
d = sqrt( 4900 + 25600 )
d = sqrt( 30500 )
d = 174.642491966
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answer:
distance from his house = 174.64 km
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