Find the approximate unknown angle o using inverse trigonometric ratios (sin-1,cos-1, or tan-1)

Answer:
[tex]\displaystyle 0,1922986515...\pi = \theta \\ 35° \approx \theta[/tex]
Step-by-step explanation:
[tex]\displaystyle sec^{-1}\:1\frac{177}{823} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]
OR
[tex]\displaystyle cos^{-1}\:\frac{823}{1000} = \theta; 0,1922986515...\pi\:[or\:34,613757274...°] \\ \\ \boxed{0,1922986515...\pi = \theta\:[35° \approx \theta]}[/tex]
I am joyous to assist you at any time.