A fish floats in liquid with its eye at the centre of an opaque walled full tank of liquid of ci...

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A fish floats in liquid with its eye at the centre of an opaque walled full tank of liquid of circular cross section. When the fish look upwards, it can see a fish-eye view of the surrounding scene i.e. it is able to view the entire space above the liquid surface. The diameter of the tank is \( 30 \mathrm{~cm} \), and the critical angle for liquid is \( 37^{\circ} \). At what maximum depth below the surface of the liquid \( d \), must the fish be floating?
\[
\left(\sin 37^{\circ}=\frac{3}{5}\right)
\]
(a) \( 16 \mathrm{~cm} \)
(b) \( 20 \mathrm{~cm} \)
(c) \( 11.25 \mathrm{~cm}(d) 25 \mathrm{~cm} \)
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