A jogger goes 1.5km and then turns north. If the jogger finishes 1.7km from the starting​ point, how far north did the jogger​ go?

Answer 1

"A jogger goes 1.5km"
what was the initial direction?

Assuming he went west, we would have

n^2 + 1.5^2 = 1.7^2
n^2 = 1.7^2 - 1.5^2 = .64
n = √.64 = .8

Adjust my solution once you have fixed your typo.