A submarine is 315 m horizontally from the shore of a freshwater lake and 104 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 217 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.
(a) Draw a diagram of the situation, identifying the two triangles that are important in finding the solution.
(b) Find the angle of incidence of the beam striking the water-air interface.
(c) Find the angle of refraction.
(d) What angle does the refracted beam make with the horizontal?
(e) Find the height of the target above sea level.