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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asked 2021-02-25
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?

Answers (1)

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 = \(\displaystyle{90}^{{\circ}}-{65.1}^{{\circ}}\)
\(\displaystyle={24.89}^{{\circ}}\)
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