Question

# Rays of the Sun are seen to make a 43 degree angle to thevertical beneath the water. At what angle above the horizon is thesun?

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Rays of the Sun are seen to make a 43 degree angle to thevertical beneath the water. At what angle above the horizon is thesun?

2021-02-27
Rays of the Sun are seen to make a $$\displaystyle{\left(\angle{r}={43}^{{\circ}}\right)}$$ angle to the vertical beneaththe water.
Let incident angle be $$\displaystyle{\left(\angle{i}\right)}$$
Apply --------Snell's Law
refractive index of water = $$\displaystyle\frac{{\sin{{i}}}}{{\sin{{r}}}}$$
so, $$\displaystyle{\sin{{i}}}={1.33}\cdot{\sin{{r}}}$$
$$\displaystyle{i}={65.1}^{{\circ}}$$
Hence ; The angle above the horizon = $$\displaystyle{90}^{{\circ}}-{65.1}^{{\circ}}$$
$$\displaystyle={24.89}^{{\circ}}$$