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In the figure, a coin is right up against the far

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Answer #1

angle of incidence = i
angle of refraction = r
from snells law, sin(i)/sin(r) = n ( refractive index opf the media)
Now, let diameter of the coin be d
from geometry we see
tan(r) = (6.4 - d)/h ( h is height of mug) = (6.4 - d)/8.4
tan(i) = 6.4/8.4
sin(i) = 0.606
sin(i)/sin(r) = n = 1.33
sin(r) = 0.4556
r = 27.106 deg
tan)r) = 0.511 = (6.4 - d)/8.4
d = 2.1 cm

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