Question 634467
Let a be the 8 miles north traveled line and let b be the 6 miles west traveled line. Let c be the straight line from home to work. Line a and line b have a 90 degree angle so a, b and c form a right triangle. Because this is a right triangle {{{a^2+b^2=c^2}}}

{{{c^2=6^2+8^2=100}}}

{{{c=sqrt(100)=10}}}