Solution:

Given,

Polarizing angle (i_p) = 55°,
Refractive index of the glass (μ) = ?,
Angle of refraction (r) = ?

Now, we have,

\(\mu=\tan\left(i_p\right)=\tan\left(55^\circ\right)\)
∴ \(\mu=1.428\)

Hence, the required refractive index is 1.428

Again, at θ_p, we have,

\(i_p+r=90\)
Or, 55 + r = 90
∴ r = 35°

Hence the required angle of refraction is 35°