swaugh
  • swaugh
help i give medals Carrie and her friends hiked from the ranger's station due north for 3 miles then due west for 5 miles. If they hiked in a straight line back to the ranger's station, what distance would they travel? Round your answer to the nearest tenth of a mile.
Mathematics
schrodinger
  • schrodinger
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wolf1728
  • wolf1728
Hello swaugh
swaugh
  • swaugh
hi can you help me
wolf1728
  • wolf1728
Yes I can help you

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wolf1728
  • wolf1728
They walk 3 miles north and then 5 miles west This forms a right triangle with legs of 5 and 3 The distance they would walk back to the ranger station is the hypotenuse of that triangle.
swaugh
  • swaugh
these are the answer choices
swaugh
  • swaugh
four point zero miles five point eight miles six point zero miles six point seven miles
wolf1728
  • wolf1728
hypotenuse^2 = 5^2 + 3^2 hypotenuse^2 = 25 + 9 hypotenuse^2 = 34 hypotenuse = sq root (34)
wolf1728
  • wolf1728
I think the person who made up that problem might have been a little confused. If they walked 3 miles north and then 4 miles west the hypotenuse would then equal 5 miles exactly.
swaugh
  • swaugh
thats what i got and i dont know the right answer
wolf1728
  • wolf1728
it seems the answer would be square root of 34 or 5.8309518948 miles
swaugh
  • swaugh
so 5.8
wolf1728
  • wolf1728
I guess 5.8 is close to the nearest tenth, so that's the answer.
swaugh
  • swaugh
thank you
wolf1728
  • wolf1728
u r welcome

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