ASK YOUR TEACHER

PRACTICE ANOTHER

A submarine is $2\mathrm{.}73{10}^{2}m$ horizontally from shore and $1\mathrm{.}00{10}^{2}m$ beneath the surface of the water. A laser beam is sent from the submarine so that the beam strikes the surface of the water $2\mathrm{.}32{10}^{2}m$ from the shore. A building stands on the shore, and the laser beam hits a target at the top of the building. The goal is to find the height of the target above sea level. $($The index of refraction of water is $n=1\mathrm{.}333.)$

$($a$)$ Draw a diagram of the situation, identifying the two triangles that are important to finding the solution. $($Submit a file with a maximum size of $1$ MB $.)$

Choose File no file selected

IMG$\_0247.$jpg

$($b$)$ Find the angle of incidence of the beam striking the water$-$air interface. $($Give your answer to at least one decimal place.$)$

Your response differs from the correct answer by more than $100\%$

$($c$)$ Find the angle of refraction. $($Give your answer to at least one decimal place.$)$

Your response differs from the correct answer by more than $100\%.$

$($d$)$ What angle does the refracted beam make with respect to the horizontal? $($Give your answer to at least one decimal flace.$)$

Your response differs from the correct answer by more than $100\%.$

$($e$)$ Find the height of the target above sea level.

Your response differs from the correct answer by more than $100\%.$m