The angle of incidence is [tex]44.8^{\circ}[/tex]
Explanation:
The critical angle of a medium is given by the equation
[tex]sin \theta_c = \frac{1}{n}[/tex]
where
[tex]\theta_c[/tex] is the critical angle
n is the index of refraction of the medium
Here we know that
[tex]\theta_c[/tex]
So we can find the index of refraction of the medium:
[tex]n=\frac{1}{sin \theta_c}=\frac{1}{sin 45}=1.41[/tex]
Now we can use Snell's law, which relates the angle of incidence to the angle of refraction:
[tex]n = \frac{sin \theta_i}{sin \theta_r}[/tex]
where
[tex]\theta_i[/tex] is the angle of incidence
[tex]\theta_r[/tex] is the angle of refraction
Here we know
[tex]\theta_i = 30^{\circ}[/tex]
So, we can find the angle of incidence:
[tex]\theta_i = sin^{-1}(n sin \theta_r)=sin^{-1}((1.41)(sin 30))=44.8^{\circ}[/tex]
Learn more about refraction:
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