I’ve tried calculating it on my own but I’m not getting a degree even close to the answers?

Answer:
Below
Step-by-step explanation:
You need to use SOH CAH TOA to find theta.
Looking at the triangle, we have the opposite side which is 9 and the adjacent side which is 10. This means you have to use Tangent to find theta.
Tan θ = opposite/adjacent
Tan θ = 9 / 10
θ = tan inverse ( 9 / 10 )
θ = 41.98
θ = 42 degrees