<PRE><B>Question 252567</B>
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 = {{{sqrt(36)}}}
b = 6 mi north</PRE>