Question 394102: Starting from city A, a car drives 250 miles east to city b, then 300 miles north to city c, and finally 700 miles west to city d.what is the distance between city a and city D
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Starting from city A, a car drives 250 miles east to city b, then 300 miles north to city c, and finally 700 miles west to city d.what is the distance between city a and city D
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Draw a sketch ABCD as per the directions
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AB = 250 miles (east)
BC = 300 miles ( north)
CD= 700 miles (west)
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Draw a perpendicular from A meeting CA at D
we have to find distance AD
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AD is the hypotenuse of the right triangle ADC
AD = BC = 300
DC= CA-CD but CD = AB= 250 So DC = 700-250= 350 miles
AC^2= AD^2+DC^2
AC^2= 300^2+350^2
AC^2= 212,500
AC = sqrt (212,500)
461 miles
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m.ananth@hotmail.ca
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