Answer:
[tex]\theta = 40.59^\circ[/tex]
Step-by-step explanation:
Given
The question is illustrated with the attached image
Required
Find [tex]\theta[/tex]
To do this, we use sine formula
i.e.
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(\theta) = \frac{10.8}{16.6}[/tex]
[tex]\sin(\theta) = 0.6506[/tex]
Take arc sin
[tex]\theta = \sin^{-1}(0.6506)[/tex]
[tex]\theta = 40.59^\circ[/tex]