Question 27479: after 2 days of travelling,a group of explorers are 40km east and 50km north of the base camp.a second group are 20km west and 70km south of the base camp.find:
a)the distance between the two groups, and
b)a description of the midpoint between the two groups.
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! after 2 days of travelling,a group of explorers are 40km east and 50km north of the base camp.a second group are 20km west and 70km south of the base camp.find:
a)the distance between the two groups, and
b)a description of the midpoint between the two groups.
LET BASE CAMP BE O THE ORIGIN.WEST-EAST IS THE X AXIS,SOUTH - NORTH IS Y AXIS
GROUP ONE IS 40 KM EAST AND 50 KM NORTH .LET THEM BE AT A WITH COORDINATES(40,50)
GROUP 2 IS 20KM WEST AND 70 KM SOUTH .LET THEM BE AT B WITH COORDINATES(-20,-70)
AB =DISTANCE BETWEEN 2 GROUPS=SQRT.((40+20)^2+(50+70)^2)=10*SQRT(36+144)
=10*SQRT(180)=60SQRT(5)
MIDDLE POINT OF 2 GROUPS IS AT
MID POINT OF AB =(40-20)/2,(50-70)/2=(10,-10)
THAT IS 10 KM TO EAST AND 10 KM TO SOUTH.
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