A $4\mathrm{.}00-$m$-$long pole stands vertically in a freshwater lake having a depth of $2\mathrm{.}50$ m $.$ The Sun is $37\mathrm{.}5$ above the horizontal. Determine the length of the pole's shadow on the bottom of the lake.

Draw a careful picture, labeling the incident and refracted angle. What length of the pole is above the water? $m$

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$14.$

$[0/2$ Points$]$

SERPSE$1034\mathrm{.}6.$OP$.015.$

PRACTICE ANOTHER

A narrow ray of white light $($originating in air$)$ is incident on the surface of a pool of water at at an angle of incidence of $75\mathrm{.}1.$ The table below gives the value of the index of refraction of water for various colors of visible light. $($Assume that the index of refraction of air is $1\mathrm{.}000.$ Round your answers to at least two decimal places.$)$

$\backslash$table$[[$Color$,$Index of Refraction$],[$red$,1\mathrm{.}331],[$orange$,1\mathrm{.}332],[$yellow$,1\mathrm{.}333],[$green$,1\mathrm{.}334],[$blue$,1\mathrm{.}337],[$violet$,1\mathrm{.}340]]$

$($a$)$ What is the refraction angle $($in degrees$)$ for the yellow component of the light ray in the water?

$4$

How does Snell's law relate the angles of incidence and refraction? In what medium is the incidence angle? What is the index of refraction of this medium? In what medium is the refraction angle? For the given light color, what is the index of refraction of this medium? Be sure your calculator is in degree mode. $$

$($b$)$ What is the refraction angle $($in degrees$)$ for the green component of the light ray in the water?