SOLUTION: the distance between two cities is southwest ten miles. to drive, you must travel 8 miles east. how many miles north will you have to drive?

Question 252567: the distance between two cities is southwest ten miles. to drive, you must travel 8 miles east. how many miles north will you have to drive?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the distance between two cities is southwest ten miles. to drive, you must travel 8 miles east.
how many miles north will you have to drive?
:
This is a right triangle problem; use a^2 + b^2 = c^2
where
a = 8 (east)
c = 10 southwest
find b (north)
8^2 + b^2 = 10^2
64 + b^2 = 100
b^2 = 100 - 64
b^2 = 36
b =
b = 6 mi north
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