SOLUTION: The town of Elena is 24 mi north and 8 mi west of Holberg. A train runs on a straight track between the two towns. How many miles does it cover? Round your answer to the nearest wh

Algebra ->  Points-lines-and-rays -> SOLUTION: The town of Elena is 24 mi north and 8 mi west of Holberg. A train runs on a straight track between the two towns. How many miles does it cover? Round your answer to the nearest wh      Log On


   



Question 261255: The town of Elena is 24 mi north and 8 mi west of Holberg. A train runs on a straight track between the two towns. How many miles does it cover? Round your answer to the nearest whole number.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
24 mi north and 8 mi west form the legs
of a right triangle, and the tracks between the
towns form the hypotenuse.
Use the formula
a%5E2+%2B+b%5E2+=+c%5E2
a+=+24
b+=+8
24%5E2+%2B+8%5E2+=+c%5E2
576+%2B+64+=+c%5E2
c%5E2+=+640
c+=+8%2Asqrt%2810%29
c+=+25.298
To the nearest whole number, the distance is 25 miles