Answer: The distance between Fort Collins and Greeley is 35.84 km.
Step-by-step explanation:
Since we have given that
Distance travelled due south of Fort Collins = 18 km
Distance traveled due west of Greeley = 31 km
So, using the pythagorous theorem, we will find the distance between Fort Collins and Greeley.
So, it becomes,
[tex]H^2=B^2+P^2\\\\H^2=18^2+31^2\\\\H^2=324+961\\\\H^2=1285\\\\H=\sqrt{1285}\\\\H=35.84\ km\\\\[/tex]
So, the distance between Fort Collins and Greeley is 35.84 km.
