Question 884845
South 6km
East 5km
North 3 km
West 9km
.
S 6 - N 3 = South 3 km
E 5 - W 9 = West 4 km
.
This becomes a right triangle problem with south and west the legs, and southwest the hypotenuse.  3,4,5 is the classic right triangle example.  Here's how:
{{{a^2}}}+{{{b^2}}}={{{c^2}}}
{{{3^2}}}+{{{4^2}}}= {{{c^2}}}
9 + 16 = {{{c^2}}}
25 = {{{c^2}}}
Take the square root of each side
5 = c
.
He is 5 km from home.