i got it but i'm just not so sure with my answer.. any help is much appreciated!!

Answer: θ = 11.94 degrees
Step-by-step explanation:
You must find the blue angle. We will use Trigonometry. In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side. The abbreviation is tan. tan(θ) = opposite / adjacent.
[tex]tan(\theta ) = opposite / adjacent\\tan(\theta ) = 5.5 / 26\\\theta=arctan( 5.5 / 26)\\\theta =11.94[/tex]