Question

Loveland Colorado, is 18 km due south of Fort Collins and 31 km due west of Greeley, What is the distance between Fort Collins and Greeley?

Answer 1

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,

$H^2=B^2+P^2\\\\H^2=18^2+31^2\\\\H^2=324+961\\\\H^2=1285\\\\H=\sqrt{1285}\\\\H=35.84\ km$

So, the distance between Fort Collins and Greeley is 35.84 km.