homework and exercises - Apparent depth and the viewing angle

Does the viewing angle of a person observing a coin placed in a bucket of water affect the apparent depth in any way?

Answer

Apparent depth of the object is given by the following equation,

$$AD=\frac{RD}{n_{ab}}$$
Where $AD$ is apparent depth, $RD$ is real depth, and $n_{ab}$ is the refractive index of medium b (denser medium) w.r.t medium a (rarer medium).

As real depth and refractive index is going to be constant always (for the given pair of medium), apparent depth will be independent of viewing angle.