Question

City X is 85 miles due south of city Y, and city Z is 15 miles due west of city X. What is the bearing of city Z from city Y?

I got 10 degree for the answer...whats your?

Answer 1

It would seem from the diagram that city Z is about 200 degrees from city Y.
Let's figure that more accurately.
tangent angle Y = 15/85
tangent angle Y = 0.1783255734
angle Y = arc tangent (0.1783255734)
angle Y = 10.1110199141

I get about 10 degrees also. However, the arc tangent function also yields an angle 180° larger which is 190.1110199141°
Judging from the diagram, 190.11° is the correct answer.

Answer 2

Here is the diagram