The angle of incidence is greater than the angle of refraction when light travels from rarer to denser medium. Then the angle of refraction is 27.28°.
When a light ray travels from a rarer medium to the denser medium then the ray gets bent toward the perpendicular of the surface.
A flashlight beam strikes the surface of a pane of glass ( n = 1.58) at a 46° angle to normal.
We know that the formula is given as
[tex]\rm sin \ r = \dfrac{n_a}{n_g} \times sin \ i[/tex]
We have
[tex]n_a = 1\\\\n_g = 1.58 \\\\i = 46 ^o[/tex]
Then we have the refraction angle will be
[tex]\rm sin \ r = \dfrac{1}{1.58} \times sin \ 46^o\\\\sin \ r = 0.45527[/tex]
Take the inverse of sine, then we have
[tex]\rm r = sin ^{-1} 0.45527\\\\r =2 7.08^o[/tex]
Then the angle of refraction is 27.28°.
More about the refraction link is given below.
https://brainly.com/question/14592350