Question $5$

Grading

$1$ Point

You are playing a game where you drop a coin into a water tank and try to land it on a target. You often find this game at fast food places as part of a fundraiser. The sides of the tank are flat and the target is $6$ in from the side of the tank. Your eye is $9$ in from the side of the tank. Water has index of refraction of $\frac{4}{3}.$ Because of light refraction at the interface, the target appears, to your eye, to be at a different position than its true position. If you drop the coin accurately and it falls straight down to the location where the target appears to be$,$ how far are you off? Does the coin fall in front or behind the target as you look at it$?$

$1\mathrm{.}5$ in behind the target.

$0\mathrm{.}75$ in in front of the target.

$1\mathrm{.}5$ in in front of the target.

$0\mathrm{.}75$ in behipd the target.